There are several factors at work. Champlain is part of it, but really only in NoVT. It has nothing to do with why Big K gets more snow.
It's all topography. The orientation of Green Mtn spine is a big reason. A long tall ridge that extends North/South, and at the northern end Northeast/Southwest which is even better.
Adk topography matters too. Its more like a bunch or disorganized peaks which disrupts the lake effect more and doesn't get nearly the orographics. For Gore to get lake effect you really need some kind of upper level enhancement.
Just west of Gore is a mini spine, west of Indian Lake. (Would have been a great place to put Gore actually.) That often snags the last of the lake effect before it gets to North Creek.
Also Jason is correct Gore is very far from the center of both the BTV and ALY radars. So it gets more than it looks sometimes.
"You just need to go at that shit wide open, hang on, and own it." —Camp