A dry snow can give you the opposite problem. Since it is dry and covers the soil they are no longer grounded by touching the soil. Dry snow is an insulator.if I understand correctly you're saying you lift the fence in the winter so the snow doesn't ground it out correct?
I've chatted with Premiere1 about other electric fencing issues, nit snow. They were friendly and helpful. Personally I prefer a phone call to a written message so you and they can more easily ask questions and understand the issues. And do not hesitate to raise your issues or ask for clarification.
When I was in Arkansas we'd occasionally get snow but it usually didn't last that long. In NH you are facing more snow. Even if it is not working the fencing still gives some protection. If a critter has been bitted a time or two it learns to stay away from the fencing. It doesn't know it has grounded out and is vulnerable. People are always getting new dogs and wild critters are being weaned and off to find their own hunting territory so not all have been warned by it. You can still have breaches.
I don't know of any perfect solution. I just do the best I can.

