"The short version is that there’s a fear that cis women and girls will be somehow harmed if they are in the same bathrooms or on the same sports teams as trans women and girls."

I think you've unintentionally abandoned some degree of nuance in order to make your point. Having men who have transitioned to women compete against women is unfair. Multiple studies have shown that they hold physical advantages. Treating the trans community with respect and dignity is one thing. Athletic competition is another. Would love if you could address this further.