You're worried that skiing is having a negative impact on your hill climbing workouts?? You've got your priorities backwards. Your workouts are to make it easier to go have fun!
If you are a beginning or not very good skier, yes, I think your quads and other big leg muscles will be getting worn out skiing. This will lessen as your skill improves. Technique makes a huge difference.
When I want to train for skiing, I do stairs and lunges. This helps with skiing generally, backcountry skiing more so.