I think it really depends on the woman, her relationship with her parents, any religious considerations, age, etc. In TNG's case, it was obviously the right choice. If I were to get married today, it would probably be a good idea for the guy to ask my parents. That way they can say, "You are fucking insane - you do not actually want to marry our feisty, young-as-fuck daughter right now. Give it some time you maniac." :P

I don't have plans to marry anytime soon but I really don't see someone asking my dad/parents (they really are a singular unit) permission in 10 years. For one, I don't know if my parents will be around in 10 years. I also don't see my parents and I having an ultra-close relationship in the future. Our relationship has gotten better since high school but we still aren't close enough to talk about personal things like that and the conversations are usually fairly one sided: they tell me things, I consider them. I already get enough long-winded advise about about my life and my money and my career. I don't think I want to add love to that list.

I know my parents will always be a part of my life but I prefer to keep my relationships and my parents as separate as possible. I realize that I'm far more independent and stubborn than some women and like to do things my way and find my own way in life. My dad would never expect a guy to ask his permission for that exact reason, although he would probably appreciate and respect the guy a bit more if he did. My dad would never say no though. Just, "Are you sure you?"