For the ballet analogy to fit, you'd have to imagine that men who attended coed classes were frequently subject to a lot of negative attention, ranging from "oh my god a male" all the way up to blatant sexual abuse. You would have to imagine men generally avoiding ballet because of this.

In such a situation, I think providing some path for men to participate at all, and thus gradually shift the balance to the point where it no longer is a big deal, would trump the more abstract general concern of "let's not ever make anything about sex." I understand that ideal, but we're not there yet. We're in a remedial situation, where VC (and much of society, to be honest) is as of yet too immature to allow that to work.