So, yes, you can go downhill on cross-country skis, but you can't go cross-country on downhill skis? (Telemark and alpine touring skis are variants of Nordic s

So, yes, you can go downhill on cross-country skis, but you can't go cross-country on downhill skis? (Telemark and alpine touring skis are variants of Nordic skis that shift closer to the downhill pattern, with alpine touring bindings and skis allowing selectable free or rigidly bound heel).