I've skied 2000+ foot vertical with no problem (carving the whole length without stopping). However the base lodge at the Utah resorts is 3-4 k feet higher than I have ever been at other than in a plane. So I do not know if I have a sensitivity to altitude.
You are going to Utah, not summit county Colorado, a big difference in altitude,, this is a huge generalization---but base lodge elevations in CO are just about at summits elevations in the SLC area, so assuming relatively good health and no unusual sensitivity to altitude in general, you really should not have big problems in the SLC area.
Now, average trail length and vertical might kick you in the behind