A schnarff schnarff. Well, you see... seeing as I lack a Y chromosome, I could probably answer this one. Then again, seeing as I've been dumped in a bucket of scathing sarcasm and thus refuse to let people get near to me, maybe I'm not.
I know that I'm a sucker for a few physical traits, and they're not muscles. They're not abs of steel. In fact, I tend to gravitate and enjoy spending the time with geeks, to some degree.
But at the same time, I myself see very little in certain arts, and I don't expect my man to have any greater an appreciation for art than I do. I hope for patience when I get fangirly. I hope for a little understanding when I do open up, because there's a reason that I keep my fears hidden.
But to answer your question OP, I think that what women think about their men is somehow related to what they see in theirselves. I like insecure guys. I myself am somewhat insecure, but I can and do put that aside if I think that there's some way I can help someone work past their fears.
Long post, I apologise. My opinion would be that no, the sensitive is no less a man than the jock, and vice versa. It all depends on who you ask, doesn't it?