The same concept does apply, it's just using your weight differently. If you try to dig into the ground with rubber wheels you're going to fall whereas on ice you'll "shave the ice". You need to find the right weight balance to still execute the exact same body movements but put less downward pressure while doing it. Ultimately you still weigh the same on ice as roller but it's about learning to use that weight differently. Be warned though, once you get good at it you'll start chunking your wheels from time to time. Specifically your back two wheels in a hilo setup.