Do what you want, but stomp pads are great when it's either very cold and your topsheet gets icey or conditions are wet and it gets slippery. I have seen plenty of "Core" guys flail from their foot randomly slipping off the topsheet.
BAH I say! I've been in all different conditions with no stomp pad, if you're trying to push the board around with your back foot that's the root of the problem. You're strapped in on the front, make adjustments with the front and the back is just along for the ride.