Some will, some won't. Whether a woman can cook or not is pretty much irrelevant to me. If I love her that's all the matters. I don't expect a woman to do all the cooking. I can cook too and sometimes I enjoy it. She's not a maid and I'd try to do my share of the housework. A woman shouldn't have to be servile to make a man happy.
As for being old fashioned, I'm not a big fan. The term 'old fashioned' to me equates to religious and conservative (correct me if I'm wrong). I can respect other people's beliefs but I don't think I'd be compatible with a girl like that.