If we are picking and choosing which ones based on logic and best fit we will send nearly no women to begin with. The very few women who make the cut (without lowering the standards massively just to bump up numbers like we do now) are not worth the cost they bring to unit cohesion, medical requirements, and HR related everything.

I'm not pro-draft for reasons you listed, but at least drafting men has some logical reason even if there is just as much logic against it. Drafting women is a meaningless gesture on top of the already meaningless gesture of letting women be "soldiers."