Yes they do.
As a man, it doesn't really matter to me. I'm too straight to have a preference. I just like the female gender as who they are individually.
I like it when girls be confident enough to fight back the unrealistic expectations created by some foolish man and plastic woman. I really enjoy to see girls be themselves. To see them instead of copying someone else they embrace who they really are as a person and as a woman. I enjoy more to see when a woman is not gone through surgery in order to beauty. Beauty doesn't come with those blades.
Above all, what i care about the most is what's in a girl's mind, heart and soul.
Cannot say I ever thought about eyebrows as a part in my preference. Not really all that important, to me. But if your eyebrows grow into wings enabling you to fly away.. Expect a subtle note that I shall write on this tiny piece of paper, hand to you.
I like "thick" women.
I'm partial to thinner eyebrows myself.
Eyebrows are the last thing that would make me like someone. There are way too many other things I look for in a person.
It really depends on your face.. But i would say leave it alone! If you wax your eyebrows it can look really yucky when they are growing back in. Maybe just thin them out a bit by plucking them if that is what you are looking for.. But don't wax.. It takes off too much.