You said it's plugged in all winter.. If so then the batteries may or may not be in danger.. but freezing is not the danger.
With a good 3-stage converter/charger the batteries should be full up and the freezing point of a full battery is very very cold Temps of -40 will not damage a full up battery.
IF you have an older single stage, Say a Magnetek 6300,, Leaving it plugged in full time can damage the batteries by boiling them dry.
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Home is where I park it!
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