There is not a whole lot of proof transgenders have an advantage. I get it in theory. But transgenders have been allowed in the Olympics since 2004. To date, 0 gold medals. Renee Richards played in some non-sanctioned tennis tournaments and did not win.
The article below will mention a CT lawsuit on the issue. The week after the suit was filed, one of the cisgender athletes whose parents were involved beat one of the trans athletes named.
There is no scientific case for excluding them
www.scientificamerican.com
From that article:
The notion of transgender girls having an unfair advantage
comes from the idea that testosterone causes physical changes such as an increase in muscle mass. But transgender girls are not the only girls with high testosterone levels. An estimated 10 percent of women have polycystic ovarian syndrome, which results in elevated testosterone levels. They are not banned from female sports. Transgender girls on
puberty blockers, on the other hand, have negligible testosterone levels. Yet these state bills would force them to play with the boys. Plus, the athletic advantage conferred by testosterone is
equivocal. As Katrina Karkazis, a senior visiting fellow and expert on testosterone and bioethics at Yale University explains, “Studies of testosterone levels in athletes do not show any clear, consistent relationship between testosterone and athletic performance. Sometimes testosterone is associated with better performance, but other studies show weak links or no links. And yet others show testosterone is associated with worse performance.” The bills’ premises lack scientific validity.