Ethernet needs crossover because it has dedicated transmit/receive pairs, but USB 1.x/2.0 uses a single wire pair for both tx & rx. Ethernet crossover is pretty much identical to serial null modem cables, and those were around for a few decades by then.
USB "crossover" of the single differential wire pair would be an inversion of 0 and 1. Pretty trivial to do once you figure out a way to communicate crossover or not.
https://electronics.stackexchange.com/questions/73295/in-a-u...
It works for Ethernet because the transmit and receive lanes are separate, but with USB, there's only one pair used for both directions.