I get where the OP is coming from (I think) and I'm fed up too of the companions having to be something other than ordinary women. I'm not saying there's anything wrong with it, before you all jump on me, just that I'm personally fed up with it.
It seems to be a Moffat thing - all his main female characters have to have some great mystery attached to them that the Doctor has to puzzle out, and I'm more than a little bored with that.
The main issue with it for me is that it makes the characters hard to relate to. Rose, or Donna, for example were, at least for most of their time on the show, just normal women like you or I, and thus likeable, easier to relate to etc. These women now with their big mysteries and puzzles aren't likeable at all to me, and I can't relate to them. Rose had her faults, but I did at least care about what happened to her. Amy, River, Clara .. I really couldn't care less what happens to them, sorry.
I'd like the show to be about the Doctor, not the Doctor trying to work out his companion, all the time.