Yeah, I agree with Jim, and the others.
You can carve it, but it's probably more worth your time to go hunting for the soft stuff in the trees, etc..
If I'm carving in softer snow I don't turn as hard, I sit a little more in the back seat, and ride with a much lighter touch . Railing turns is fun, but in the increased danger of digging/folding your nose, highsiding and maybe breaking an ankle isn't worth it for me. In any case, it is also really fun to do lazy, fast cruising in that kind of snow you're talking about - a few inches of fresh snow groomed in (or not) overnight is the perfect surface for letting the board loose and doing like 6 huge, high speed, low-G carved turns all the way down the hill
Optimus Prime is a hardbooter
So is Robocop