Inverted
mmmmmm wine
Sure they do. But when they do, it's actually somewhat difficult to recover. After the normal PARE inputs, the thing was still spinning. It took pulling the yoke back and slamming in full nose-down elevator at least 2-3 more times.
I don't recommend spinning a 172. It sucks. Everything about it sucks.
In comparison, a Super Decathlon is glorious and wonderful and actually does it right.
Then you spun a 172 with an extremely aft CG. I have several hundred hours teaching spins in anything and everything, and I was never impressed at any Cessna for its spinning abilities with regard to giving an accurate depiction. In fact I was never able to get a Cessna through the incipient stage to where I could let go of the yoke and it would continue the spin.