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.
As long as she doesn't look like "Wild Bull Curry"
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.