At pool, maybe, but he doesn't have the legs for it.
Sure men are physically stronger, but this isn't something that requires weight lifting.
Women are typically smarter, that would seem to me to be more important than
physical strength playing pool. Still, I can't figure out why, at the pro level, the men seem
to be generally better than the women or why skills seem to begin to diminish when you
reach the age of about 40 or 45.
I think if you remove the gender component in a short time the women would catch up
and play would be pretty even.
Personally, I think a gender test for any prize won in any amount would lead to some
very embarrassing moments for some of us, particularly the men that might support
something like this. Revealing yourself as the guy that finished 4th in a ladies tournament,
or the guy that finished behind 2 or 3 (or more) women in a men's tournament.
Now, I get beat all the time so it wouldn't bother me but some guys might
just give up the game.