Thanks, Terry, for the comments. Yes, carving on ice is exactly what I want to do. Because the races I ski in are on white stuff that looks kinda like snow, but is hard and slippery. I call it ice. Actually, in my race league, the stuff we race on is just like any old 2:00pm skied-off intermediate blue in New England. If it isn't, if it snowed during the night, "techs" sideslip down the course to push the snow away before the racing begins, revealing the hard stuff below. I've only raced one year, so last year I groaned when they did that. I knew I could carve in snow, and that I couldn't on ice. The seasoned racers around me kept saying the hard stuff was faster, that they wanted it harder and were looking forward to that type of surface. I'd like to be at that place psychologically this year, at some point.
Yes, I have short (154's) skis (published radius 12.5m), and even though it's advertised as an all-mountain ski, I think of it as a slalom ski.
I think that if I can carve ice, I will have more fun after lunch on all those non-race days. And that whatever it takes to carve ice will slide over into my mogul skills, which are in serious need of development.