For me it's the opposite with 360 Shuvits, I need my front foot to actively guide the board through the initial spinning movement to keep it from flipping. It's the same with Pop Shuvits, the pop alone will make the board spin somewhat and needs to be counterbalanced by the front foot moving in the opposite direction of the scoop.
I firmly believe there's no right or wrong way to move and whatever gets the job done for you best is the way to go, but it's fascinating how different these can be.