in my opinion it seems like when i cork the most at the very beggining i can get my weight back under me. so then i have the rest of the rotation to get the weight back in control. i dont know how that really works on a 3 though, theyre kinda tough.
i would try not to learn corked spins until you have flat spins super dialed. because once you start going corked it gets hard to learn big backside spins because you keep throwing harder and it ends up as just going more and more corked. i think that a lot of the cork rotation is with your upper body. If you keep your head level and throw your momentum with your upper body flat then you can stay mostly level. going corked is easy you just throw super hard look at the ground and grab mute.