I have seen men who look better with beards, but as someone else said, it's often because they've got a weak chin and the beard hides it . Some men will look good no matter what... BUT I also think a beard can obscure a good looking face, and I like to appreciate the whole face.
I just don't think this says a lot about me as a person, or as a woman! Although that being said, I don't think I'm all that submissive and meek either . I can appear to be on the surface, because I'm very quiet and shy etc. but In a relationship I'm all for equality and am not a bit submissive!
On the other hand, I prefer masculine looking men (just non-bearded ones generally ). So I'm not attracted to weaker males either. (Or I should say... I guess I prefer men who are in between... I'm not into really big, burly guys... just a reasonable muscular build... although again, this won't necessarily impact on who I find attractive at any particular time... I was quite attracted to a really skinny guy last year! He had reasonable muscle, but was just one of those guys who can't seem to put on weight no matter how hard he tries).
I guess part of the issue is that when someone says something that implies "women who like beards are X and women who don't are Y" people will get their backs up a bit, as you're implying something about them that they may not like or agree with. You could offend a strong, confident woman by saying "women who like beards tend to be more submissive" if she's a beard liker, for example. (Okay, maybe some of us are just a bit too sensitive lol).