Really? That's why Republicans all over the US are falling over themselves to pass bills and make a lot of noise about the subject, even when there aren't actually any trans women in competitive sports in their own state? That's why that trans New Zealand weightlifter at the last Olympics got way more media attention than every other NZ Olympian combined, even though very few people actually care about weightlifting in general?
Obviously if you're a cis woman losing out on victories due to having to compete against Lia Thomas, or in a similar situation, you have every right to complain about that and push for regulation to make the situation fairer. But let's not pretend that the huge media and political attention for the subject, way more than any other complaint by female sporters ever gets, is just because those people all care so much about level playing fields in female sports.
As for nuance, yes, it's very much required - and probably further research. Even if you'd go with a radical and unfair measure like banning any trans woman, you'd still have a problem with women like Caster Semenya, who isn't trans at all but has entirely natural hormonal irregularities that give her a similar advantage (which quickly becomes a slippery slope because if her natural advantages aren't allowed, then what about other exceptional natural advantages like Michael Phelps' exceptionally large hands and feet?). Or women who have taken hormone supplements for other reasons.
It's not almost exclusively an American thing and I don't believe there's any real money to be made weightlifting at the Olympics, either, which didn't stop the controversy about that NZ Olympian. But the way it's being used as a cudgel in the culture wars is probably a lot worse in the US than elsewhere, if that's what you meant...