I would tend to agree with this, but also realize that we're talking online dating where it's well-known that people just scan photos and other personality, etc. factors that certainly would come into play to some extent in person are not involved. This creates a slight flaw in generalizing the results.

I would make it slightly more generic saying that "looks, appearance, and overall grooming" matter. But the hair is a big factor in this because while some guys can look great with a shaved or close-cut look, others aren't as lucky.

Fortunately for us, if you've got the piece wearing down and are really making it work well-- most women don't have a problem with it.