Can't answer that personally...
I put the alpinists on my hyperchargers and honestly never got my backland boots dialed in (looking to replace now), so I never skied them with them. Backlands have always felt soft with some foot movement for me, mostly due to the thin liners that wear quickly, and I can't imagine the binding making much difference with that.
It's probably true that bits of slop in the system (boot + binding) add up to the overall experience. I can certainly feel my heel "moving" in dynafit pins in a way that isn't great for the ski feel.
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