Already exists, it's what people refer to as "male olympics". As far as I know, females aren't banned from competing. It is just that they don't stand a chance in most disciplines. The whole point of female olympics is to keep males out.

Can trans male who transitioned before puberty compete in male olympics while being pumped full of steroids legally?

Maybe they should accept that they simply aren't competitive if they can't compete against their own sex. There's no shame in it, most people aren't competitive, certainly so at this level.

That’s not true. Men’s gymnastics and women’s gymnastics are totally different sets of events and men would get trounced in a women’s event.

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Putting aside that you argue entirely by assertion, that is one discipline, which therefore does not contradict the claim about "most disciplines".

Meanwhile the gap is well known to be massive in typical events, e.g.:

* Compare https://worldpowerlifting.com/records/womens-world-records/ vs https://worldpowerlifting.com/records/mens-world-records/ (or for that matter, browse through https://exrx.net/Testing/WeightLifting/StrengthStandards)

* https://en.wikipedia.org/wiki/Women's_100_metres_world_recor... plateaued at numbers seen in men's competition over a century ago; a "sub-elite" female competitor sprints barely ahead of "intermediate recreational" men per https://marathonhandbook.com/average-100-meter-time/ . Griffith-Joyner's record-setting time would not have even qualified her to run with men since at least 2000: https://en.wikipedia.org/wiki/100_metres_at_the_Olympics

* I often hear it suggested that women show an advantage in longer races, but even at standard marathon length this is not borne out in results: https://en.wikipedia.org/wiki/2025_Boston_Marathon

* National and international level competitive women's sports teams regularly get trounced by teenaged boys in exhibition e.g. https://www.youtube.com/watch?v=EDH_r7-GN4o widely reported on last year and https://www.cbssports.com/soccer/news/a-dallas-fc-under-15-b... from 2017

* The entire history of https://en.wikipedia.org/wiki/Battle_of_the_Sexes_(tennis) requires quite a bit of creative interpretation to put women's tennis anywhere near the level of men's

That's just off the top of my head of anecdotes and examples I can recall being casually thrown around in these sorts of discussions.