Except of course that a Neanderthal weighed about 140 lbs more than a chicken, and goats don't carry spears.
I think it's a safe bet that a lot of early couplings weren't voluntary and that women were the spoils of battle. That Neanderthal with the spear probably ended up carrying off the CroMagnon woman a good deal of the time. I'm also guessing that when given the choice between death or rape that most women of either group chose the latter.