From the article by (Lodén, 2005) suggested by @Wayfaring Stranger, the answer seems to be Partly, but not too conclusive (emphasis mine everywhere):
Moisturizers are recommended for use in normal skin to
prevent the appearance of dryness.131,132 Despite their widespread
use, only a few studies have focused on their influence on
the permeability ...
The reason these oils seem to penetrate more is due to the irritation caused by Capsaicin.
Web MD Says:
When a capsaicin cream or ointment is used on the skin (topical use),
capsaicin helps relieve pain. Capsaicin works by first stimulating and
then decreasing the intensity of pain signals in the body. Although
pain may at first increase, it ...
The answer is "probably not". An in-depth medical review here has some exceedingly good points about why. To summarize the main factors: vaginal tightness is mainly controlled by deeper layers of muscle in the pelvic floor, which most topical creams will not easily penetrate to. There is also little to no evidence that the ingredients in these creams ...
The research into effectiveness of fairness creams such as Fair & Lovely is inconclusive since Aneel Karnani's 2007 paper states that dermatologists claim that fairness creams cannot be effective without the use of skin bleaching agents such as hydroquinone, steroids, mercury salts, other harmful chemicals and further research is warranted.
The conclusions of a report by Cosmetic Ingredient Review (CIR), a U.S.based industry-sponsored panel of experts in 2012 states that parabens in cosmetics is safe at current exposure levels.
The SCCS considers the use of butylparaben and propylparaben as
preservatives in finished cosmetic products as safe to the consumer, as long as the sum of their ...