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The most powerful argument against it to me is that if girls wrestled boys, they would be touched in ways that would be considered sexual assault outside of the game.

As a former high school amateur wrestler myself, I say amen to that!
When I was a wrestler, if I had to worry about touching in an inappropriate way, I might as well have conceded defeat before the match even began.
In order to win a match, a wrestler needs to learn how to take advantage of a situation as it happens. Miss a good opportunity especially against an experienced wrestler and chances are you will not get another.
Not to mention a few things that are better left unsaid.

Tom