It appears to be more complicated than simple strata contamination, and there does seem to be more of a problem with politics than most people forwarding answers suggest. Does Hueyatlaco show, as the question asks? In my opinion, yes, but not conclusively.
If the timeline is correct, frankly it comes down to less than forthright accounting and bias. The main on site proponent of this is Virginia Steen-McIntyre, but quite a few others in the field.
There does seem to be a lot of politics involved in any site considered pre Clovis (13k ybp), and the Monte Verde site Tom Dillehay flew relevant colleagues down to Chile to monitor progress in avoiding just this aspect (which generally worked with one exception). In the 1960's when excavated, Hueyatlaco was under particularly intense scrutiny when the dates came out.
https://www.nature.com/articles/d41586-020-02190-y 30,000 year ago cave habitat of man in Mexico seems to be generally accepted so far.
There are a few others, and the trend seems to indicate that isolated populations of hominids did make it over the Beringia region in favorable times.
http://pleistocenecoalition.com/newsletter/may-june2011.pdf page 11 'diatoms'
I am a layman, and have read the dealings with excavation from both points of reference. It has been written that the tools found were highly anomalous to the claimed 250k ybp date. This in itself is not unheard of, and taxonomic records are often irregular.
http://pleistocenecoalition.com/newsletter/january-february2012.pdf el horno item.
The Xalnene Tuff Footprints in then general area, pretty well confirmed to be 1.3 million years ago.
The below research paper logic seems skewed in conclusion, that the date is too far out of normal thinking -- as many animals took the over Beringia journey in either direction even as late as the often chilly early Pleistocene:
"If the [ichnofossil marks] were of human origin, then they would probably be early Homo erectus ... This is unlikely based upon the known geographic distribution of these early hominids (Anton and Swisher, 2004) and the genetic and archaeological evidence for the peopling of the Americas."
Well now, that is opinion. The taphonomic record is by its very nature extremely tenuous for migration paths over hostile territory, which all of Beringia was for such a stenobiont as H. Erectus. As people such as Stephan Gould have pointed out, even the most heavy of human fossil records tend to be on the order of 1:1,000,000, sometimes 1:100,000,000 or less. For a cul-de-sac isolated population, especially a recurring extincted group (as Greenland was), both the fossil record and any remaining genetic evidence would not necessarily be a given.
It is known that stone tools varied widely in this period (e.g. https://www.thoughtco.com/acheulean-handaxe-first-tool-171238 was used for about 1.5 million years in one form or another and until about the early holocene.) In those days, groups had widely differing levels, and much more like chimpanzees in that groups did not share technology as much as traditions inside the group. https://www.jstor.org/stable/3630525
A population that managed to get over the Beringia strait or via lowered sea levels had some significant hurdles to overcome, much more so than camels or horses which went the opposite direction in much warmer times and a possible raised strait. The odds of such a group would be greatly improved with forefront technological advancements.
In recent hunter/gatherer groups are about 50% of executions are top alpha men who become too assertive, including bullying, which tends to offend the egalitarian natures of the group. These people are prime candidates to found a dynamic, exploratory group, such as from Siberian Denisova Cave, which has been dated via proteins to 217k ybp, and occasional ranging up to the Arctic circle by Denisovans or Neanderthals is highly likely.
Hominid rafting dispersals would be much less likely, and require far less technology, so this potential would not apply.
Like a few Greenland populations, these hypothetical hominid populations may well have lasted only for a short time. More likely they would have lasted tens of thousands of years, an isolated, genetically poor relict population but not a 'waif biota' as such (Alfred Wallace's term). In any case, we are seeing a lot of evidence of such, not unlike that in early years of Neanderthal or other species of finds.
There was a skull found, called the Dorenberg Skull, but like Mikulov_Castle Cro Magnon (Aurignacian) artifacts and skeleton, they were largely destroyed in WWII or by other losses.
In short, there is a great indications that there were populations, and if science is to progress, sites should be given their due, not almost complete ignored. The Cerutti Mastodon from 1992 til 2010/2017 is a case in point, and PCN was apparently fundamental in bringing that out.
Hueyatlaco is not dead, nor is it really discredited, although at a conference from hell it was allocated a tiny, improper room across campus, a unique treatment. However, what we need is more information from other sites, which funds should be forth coming as they are discovered. More importantly, these should be allowed for rather than a mysterious date of about 15,000 y.a.
The Cerutti site was nearly not carefully examined, and that was in America. As it was, the National Geographic grant was very important in allowing a proper examination, and that organization does not lay out serious money for trash. Mastodon sites are common. Ones with obvious signs of bone extraction via hominid methods are not. The age was always thought of as before 40,000, with indications of much earlier times. Recent advances allowed a defining of this date to roughly 130,700 years +- 9,400. The same may happen for Hueyatlaco.
Additionally, relict small populations typically eventually die off from capacity changes (e.g. climate), inbreeding, lack of Allee effect, or other, and are slow to regenerate when not becoming past tense. Were it not hominids referred to, and the attending politics, no one would bat an eyelash, and there would be no controversy.
What we do not need are nit pickers, or in the case of Hueyatlaco, apparently a high government official that hated women and yet another obstacle to partially overcome (according to Virginia Steen-McIntyre's account). Or that apparently Cerutti Mastodon site was not the only find with hominid evidence in San Diego County. George Miller (Imperial Valley College Museum) apparently said in a personal communication that his 1986 Anza Borrego excavation had similar, also dated to about 130 k.a.
Or that the also controversial Calico Early Man site (encouraged and steadily supported by Louis Leakey, about 200 miles/300 km drive away from Cerutti) yielded a bone along with the alleged stone tools. 4 decades afterwards it became necessary to give lawsuit to see if it is human, by the Native American Graves Protection and Repatriation Act. So far no legal resolution it seems, years into the situation. A reverse was the Kennewick Man, 9 k.a., which had the Smithsonian Institute sue to date and examine the bones. The remote site was intentionally covered over by Army Corps of Engineer bulldozer within days of discovery, despite being on an eroding Columbia and no construction going on beforehand. Yes, it could be said there is a lot of politics and professional territorial squabbling going on.
Besides finding more American sites of the Western Hemisphere, one possiblity is to also roll back the dates in Siberia (currently one site in The Bunge--Toll site is 45 ka, remains of a hunted and dismembered wolf by hominids, is only about 1,000 km due West/North/West of Barrow Alaska, listed among 2 other Russian Arctic circle sites of nearly the same time, all very possibly not h. Sapiens -- Pitulko,Science Magazine 2016).
That might be extremely difficult if the population densities were extremely low and only a source population passing through. Also, trebling occupation dates is likely <10x less available for examination from erosion or permafrost, it is guessed.
As far as the interior workings of Hueyatlaco, one might refer to the many PCN articles, although I will locate more independent sources soon of both sides of the controversy.
https://www.worldhistory.biz/prehistory/89374-the-earliest-archaeological-sites-in-middle-america.html is a good overview (IMO) of the general situation as we now have evidence of such, including Hueyatlaco.
"Paleoindian sites in Middle America dating to the earliest time of occupation are scarce, hindered by the fact that population density was low, residence was transitory, and material possessions minimal (Figure 3). Perhaps equally significant, the small number of known sites may be attributed to the relative lack of attention paid to Middle America’s Early Paleoindian prehistory, given the allure of the area’s more spectacular later periods."
I will be reworking this entry to a more proper format as time allots.