I suspect that some of what's really going on with this is the problem of very sporty kids vs non-sporty one.
The lgbtq+ club at my kids school is very much dominated by kids who are nerds, and kids who are in the class for those with intellectual disabilities. It's pretty clear why, they have absolute acceptance there, and something they can pin on themselves as an identity which has, at least amongst some, a kind of status, and these are kids who struggle socially.
In other schools I've seen it less like that, instead almost every girl is a member and there is some pressure for girls to join. But again, it functions mainly as a social group for kids who don't have other things to do.
A lot of school sports end up being dominated by kids who are very sporty and have some talent at that. Which is great, but it tends to leave out kids who just want to play a recreational game in a more casual way.
Way more important than an lgbtq club, IMO, are activities that will appeal to all kinds of kids. Music, drama, crochet club, baking club, doing good deeds club, whatever. And ideally, some of these, including some sports, should be available to kids who aren't super-talented in that area. And staff should make a real effort to make sure any kid who might be interested feels comfortable to be there.