Yes, no problem for lead acid batteries if they are charged (just like your car). However, don't let parasitic current draws discharge your batteries; that would be a problem if it is cold.
For my lithiums, I discharge them to about 80% SOC then disconnect them even though my RV is plugged in. I've read that it is better for lithiums not to let them sit at 100% all the time.
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Scott & Alta
2017 Montana 3160RL, Legacy, Onan 5.5Kw, Solar
2022 F-450 Lariat Ultimate
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