Other than performance, cold is good for a battery. A fully charged lead-acid battery freezes around -90F. Cold temperature reduces self discharge. Fully charged and disconnected from all loads they will probably be fine over the winter even with no charging.
I rotate a small NOCO charger through all of my unused equipment during the winter to ensure it stays topped up. I just move it to the next battery on Sunday evenings.
The factory converter may result in water use during prolonged charging, so sure to check the cells occasionally if you rely on it.
John & Kathy
2014 Grand Design Reflection 303RLS
2014 F250 SBCC 6.2L 3.73