OP did not report back, but chances that batteries sitting dead whole winter will recharge are very slim.
That is why I automatically suggest removal from the truck.
Vehicles always draw some current when in park. On old cars/truck you had a clock, on newer one alarm and remote system. Different vehicles can sit longer time without recharging and when my sedans and new F350 will restart after 5 weeks, some luxury cars are reported to drain battery even in 3 days.