Maybe your own male hair is much coarser Truthlover!
I doubt it, as my hair is very fine. However, I think you will find that standing upright is the best way to get a large amount of hair down your throat, and wrestling helps that. A violent jerk of the head, combined with a deep breath, can get a whole handful of hair to go down your throat (a lock, not just several loose strands). It has happened to me twice, separated by three or four years. (I have six children, so wrestling with lots of children is not a rare occurrence for me.)
I don't find that I whirl my head and shoulders violently, putting large amounts of hair in front of my mouth, when I'm "wrestling" my wife (maybe others do, I don't know) so strands are all I have to worry about there.
It seems to me, though, that the jerking of wrestling with kids would simulate fighting that might well be faced in an uncivilized society, and it would be very detrimental to choke on your own hair and have to pause to pull it out. Especially if we hadn't evolved speech yet, and your couldn't say "time out" to your opponent.