The media would cover the female competitors anyway, like an unofficial league within the overall event, because well, you would, wouldn't you, it's obvious - but to avoid lynching they'd end up reporting mainly on transwomen. They'd try to invent some reason for covering 'proper' women in the event, but faced with the activists' "transwomen ARE women" fury, it'd be too hard and they'd stop.
So, essentially no women in televised events ever again. Is that what you'd want?
To me you sound like somebody from 1949.
If they allow blacks in the NBA, you won't see white guys in the starting lineup anymore. Is that what you want?
If they allow blacks at the front of the bus, there won't be any room for white people at the front of the bus anymore, is that what you want?
Yes, we want this unhealthy segragation to stop. Just because it was there in the past does not make it right. Women should be allowed to compete against men on an equal footing. Like the white guys against the black guys.