Stem cell therapy may be effective in treating Lyme disease, however the safety and efficacy of such treatments in currently unproven due to how recent they are.
In at least one case report, stem cell therapy was effective at treating long-term complications from untreated Lyme Disease. However, the results of this and other case reports have only recently become available for study, and stem cell therapy doesn't appear to have comprehensive studies proving safety and efficacy.
Because of this, Infusio's claims should be taken with a large amount of suspicion, and their stem cell treatment plan may not be as effective as they are claiming. However, Infusio also seems to have a normal Lyme Disease treatment plan using standard antibiotics(with some extra comforting fluff thrown in), so that plan should be mostly trustworthy(and probably overpriced).
Lyme Disease vs. 'Chronic' Lyme Disease: Lyme Disease is a bacterial infection typically spread by certain ticks. Untreated Lyme Disease causes a lot of awful chronic problems, however a round or two of antibiotics is generally enough to treat the infection.
Chronic Lyme Disease is something that is no longer considered a medical condition, though treatments for it continue to be advertised by sketchy alternative medicine providers. As this paper demonstrates, questionable medical providers advertise various treatments for both normal and Chronic Lyme Disease, including stem cell therapy. These treatments generally have little scientific backing or rationale, as stated in the paper:
Scientific studies supporting the efficacy of any of the treatments
discussed above could not be found on review of
the medical literature. Most of the cited treatments were never
evaluated with any scientific study, although we did find that a
few treatments were evaluated in studies that either were poorly
designed or had unclear relevance to human disease.
Although Infusio is not mentioned in the above paper, similar treatments were given less than positive reviews by the autors:
Testimonials in online patient networks referenced
having received stem cell transplantation for Lyme disease
at clinics in India, Panama, Bermuda, Costa Rica, and
the United States.
...
...exposure to reactive oxygen species in the forms of
ozone or peroxide, chelation therapy, intravenous silver infusion,
and stem cell transplantation pose significant risks to
patients.
Stem Cell Therapy for Lyme Disease: As to whether or not stem cell therapy actually works for treating Lyme Disease: it's a very recent treatment, and the safety/efficacy is mostly unkown. This case report gives a pretty rosy picture of stem cell therapy, describing a successful treatment:
The patient’s Lyme disease symptoms have also
improved. He no longer complains of significant fatigue
or insomnia, and only requires low dose Adderall for his
ADHD (5 mg/day) to help concentrate at school. There is
mild neck and back pain, but it is positional, with no
other associated joint pain or neuropathy... He has remained clinically stable without relapses
while off all antibiotics, and only required a seven-day
course of a cephalosporin for a sinus infection during his
first year of college.
This is a promising example for stem cell therapy, and therefore Infusio's treatment program might actually be as effective as they claim. However, this report presents major red flags for Infusio, as summed up in the report's conclusion section:
We report the first successful improvement of CVID in a
patient with Lyme disease using human embryonic stem
cell therapy. Further studies are necessary to evaluate the
safety and efficacy of hSCT in reversing CVID...
In short, this case reports seems to be presenting the first successful stem cell treatment of long-term untreated Lyme Disease complications, and outright state that further studies are needed in order to say such a treatment is safe and effective enough to be used in general. Considering this report came out in February of this year, I doubt comprehensive studies backing up Infusio's claims have been made.
Infusio and Chronic Lyme Disease: Although Infusio's Lyme Disease treatment page doesn't currently make any claim regarding Chronic Lyme Disease treatments, they certainly used to offer treatments for it. I'm not sure how recently they made the change, but they still haven't change all of the titles in their site's source code:
So, at best they were questionable in the past and have now changed their practices to treat actual medical conditions using recent and semi-proven treatments. At worst, they still use medically unsound treatments and just don't tell you about it.
Addition: I just checked a version of the Infusio site from August 2017 on Wayback's archives, and in regards to Chronic Lyme Disease they are mostly right:
A version from 2016 is similar. They certainly are talking about treating chronic problems from untreated Lyme Disease, which is a real thing, rather than offering treatment for the debunked version. Infusio's normal Lyme Disease treatment plan seems trustworthy, though the stem cell therapy is still questionable.