that's literally why I bought up the topic of equality...

What you brought up is an appeal to maintain the current iniquitous status quo, by suggesting that the real problem with men being the aggressors in the vast majority of sexual assaults isn't the sexual assaults, but that some men might be falsely accused. But hey, if women want to protect themselves from that, we should legalise excluding them and reducing their service options in other areas, because you know, that's what equality looks like...

The thing is, you don't give a shit about the real world manifestation of inequality. What you want is a platonic ideal of equality, which doesn't exist in the real world, and using it as the measure, just ensures that real world inequality stays around and never gets challenged, because people like you can point to the rules and say "We already have equality" .

Different people can be equal in some areas and unequal in others

So what you're saying is that women being sexually harassed is just how it is in a society with equality?

Because if that's not what you're saying, I'm curious why you think a movement to reduce the disparity is a problem? Well, I'm not curious, I know the answer...