They will use all avaliable terrain, appropriate to the level of group designations.
The Academy Staff varys the group split definitions some from year to year, but last one I was at defined top two groups as:
Group-Z (Zero Brains): For a warm up run they would take air into Great Scott (Very steep dbl-blk diamond bumps w/rock features). Just shut up and ski all snow and terrain, hard, fast, all day.
Group-Q (IQ): Ski pretty much all the same stuff as Group-Z, but with intelligent consideration of tactics and pace.
Other groups were geared more around preference for more groomed terrain and/or more discussion.
So if it is your goal, get in a group that wants to ski all snow, all terrain. However, for anyone new to Snowbird, all snow all terrain at the Bird is a Richter scale notch above that of most other ski areas, especially with late spring variable conditions (we are not in Kansas (or Colorado) anymore Toto). Just be sure to understand what you might get yourself into, as each group becomes interdependant on its members not holding everyone back for the 'ol safety, fun, learning thing to work for everyone. (not aimed at you Epic, but general info).