Some do, some don't. Some have no problem with age differences, they look for things in common in ways other than age. Some don't, and can't look past the age to see what else there could be that could keep a relationship feeling mutually interesting. There will be some concerns about a lack of maturity, and it will definitely be a problem for some younger women. But not all. Some of them are able to handle themselves with more maturity than women much, much older. Age is related to maturity, but not one-to-one.
So some guys will, some guys won't. And some girls will be dateable when young, and some won't. For something like long term dating, a guy isn't going to simply date a girl just because she is young. Even if he is ok with the age gap. She still has to be dateable.