Never have seen any issue with their eyes.
Actually, I've never heard of "they don't have eyelashes". I went to go look and the hairless rats do have some whiskers and some light peach fuzz around their face, so I'm going to assume they have eyelashes. I tried to look for eyelashes but couldn't SEE any. But I got a regular furred rat and also couldn't see any eyelashes on her either. So there's that.
I would call that one a myth.
Also a really fat hairless will crack you up. I think every fat hairless should be named Jabba.