(I do not participate in culture wars, this fact just straight up fascinates me as a non-masculine gay guy.)
And I think there's the possibility that those signals are there early on in our brains. If not race cars, then it was swords and bows that were lying around and were appealing. We are products of evolution.
But as to OP's insistence that behaviors innate to our brains as not being derivative. I think in order to qualify, it must be a conscious behaviour. And even so, innate behaviours are derivative in that they came in response directly to our environs. Were they not, those traits would not have been selected as a response to environmental pressure.
"No sir! I did not see you playing with your dolls again."