(Re: physical attraction):
Despite the fact that I'm sure it may be true for some, I think it's absolutely foolish for anyone to say that they'll continue to be in a relationship with someone after they've seen their unattractive face. Yes, people are right in saying personality is more important than looks. But something I've noticed in a lot of replies is that it just seems that people here seem to be so deluded that they think looks don't matter at all, and that's really not the case.
Physical attraction to your partner is just as important as an emotional attraction, and if you're a sexual person, sexual attraction is included in that as well. Physical attraction and sexual attraction are two different things. Sex is often very important in relationships for most people, especially as you develop physically and grow older. It may not be important in relationships while you're younger, but I'm sure you see a lot of married people who feel like their relationship is falling apart because of things going on in the bedroom, and you often can't develop a sexual attraction to someone without a physical attraction to them first.
That said, physical attraction also tends to grow the more you're with that person, so first impressions of someone shouldn't knock them out of the game. My point is, though, that physical attraction does matter. It's a mere case of psychology.
People who are saying these things, ask yourself, how would you feel if your partner told you that they thought you looked ugly? You wouldn't like that, would you? You'd likely start to believe that you're not worthy of them, because you likely find them to be attractive. You'll probably start to think that they're with you because they pity your looks. These things are natural responses, and are often invasive. It's not something you'll want to be thinking. They'll seep your way into your mind whether you want them to or not. That's the way normal brains work.
(My answer to the question):
I've only been in one online relationship. I saw her picture before I developed feelings for her, but after I got to know her. I don't think I can really answer this question with much experience, because I thought she was very cute. But I have seen pictures of some of my online friends after I got to know them, and it did turn me off a bit.
I would never ask to be in a relationship with someone online if I didn't know what they looked like. And if someone turns out to look like someone I'm just not attracted to physically, but the emotional connection is there, I wouldn't pursue the relationship.