Sean, of course you wouldn't. Thats why I said I am right foot forward(goofy). For you, it would be opposite, naturally.
You shouldn't have to let go with one hand either. If you let go too early bad things can happen. There are only three reasons I can think of that would make it necessary to let go of the rope with one hand during an invert: grabs, handle passes, and tricks that you land on your toe edge.
You have a better chance of riding out a trick with two hands on the rope. A mistake that is usually made when you let go with one hand is that the rope gets too far away from your body and slows your rotation. Result: you come up short.