Not really, HDMI ports are in weird orientation and mounted in hard-to-reach places as well, but the shape makes it very obvious (even by feel) which way it should (or can't) go. This is much harder with the rectangular USB plug.
I agree that HDMI can be heads or tails based on if it’s tucked behind a TV, but sometimes I can feel enough to get it right. That was never so with the original USB.