There you go guys - not one mentions hair, starts at 1:55:
https://www.youtube.com/watch?v=O2khmxtJZqw
Unfortunately, the "horse's mouth" is not always honest and upfront though. Many times, women don't even recognize what they themselves want, unless you dig deeper. Notice that when the guy in the video dug deeper, one of the girls said, "LOOKS can only go so far" (starting at 2:40), implying that physical attraction is ASSUMED. In addition, when the man further questioned the women, they began admitting that they were attracted to certain PHYSICAL characteristics of a man. So despite what women INITIALLY say, physical appearance is important, and thus, us men should definitely make that a priority.
It is certainly the case that men should have more to offer than just looks, but physical attractiveness is like a baseline. As one relationship columnist I like to read sometimes says, a man must pass the "Physical Attraction Test" in order for a woman to consider him. Thus, physical attractiveness is like the "first step" in attracting women.
Does hair play a role in this? I certainly believe so. However, exactly HOW hair applies to someone's physical attractiveness varies with the person. For example, I do not think I would look very good with no hair or significantly less hair. Keifer Sutherland ("Jack Bauer") has a receding hairline, but I don't think that dramatically affects his appearance. The deceased actor Cary Grant had a receding hairline as well, yet he was always a classy guy. On the other hand, those men haven't experienced severe balding. In general, hair is an asset and improves physical appearance, and thus, we as men should strive to maintain it (at least that's my goal for myself). We also should not fall for the BC that "looks don't matter" and "women don't care about looks."