I'm mostly with you on this. Though I think for sports where competition is not key, say rec leagues or intramurals or whatever, then it should be fine. Though even there there's room for compromise. I don't think a guy that puts on a wig should be able to play with females, but someone receiving medical treatment probably should, non-competitvely.
The flip side of this is the real impact on individuals who have real medical conditions, and in these cases usually concurrent mental trauma. Is excluding them what's best for them? What does it say of us if we choose competition over their well being? I fall on thse side of SOL as I do on most things, it's a tough world and we can't make it sunshine and happiness for all, but I would completely understand someone falling on the other side of that dilemma.
The part of this still obscured is how the doctors who know more about this than any of us all say that this is just how these people are, how they are wired, for whatever reason, and just denying it and forcing them to live other than as they are causes deep mental trauma and leads to bad outcomes, with high suicide rates in particular. Im not surprised the Ivermectin crowd wouldn't care, but it seems there's many that would never be in the Ivermectin crowd but don't realize the medical community's stance.