What does balding have to do with settling down? Women really don’t seem to care nearly as much as men do...
Full head of hair is a qualifier, without it different things are needed to get yourself an in. The same logic goes for many attributes are considered qualifiers that aren't.
Yes, there are some men that expend very low energy and have women seemingly flock to them. I've seen bald men in this circumstance, and full haired men in this circumstance, I would say it is a very low weighting on anything.
Balding though seems to function different than bald.