Motorhome in the winter break permanently connect to shore current ?

Meal together, since I found nothing here my question: always put my Womo in winter quarters at the end of October until the beginning of March. Closed plot, cover up and good. Stoman closure is available however I ask myself the question whether you should connect it permanently or not. Was after about 4 weeks look and had determined that the build-up batteries in the display only had 6,7 volts starter battery was over 12 volts. Have the Womo nu Starter battery 13.8 volts build-up battery 13.1 volts Today, after exactly one week, check out: Starter battery 12.9 volt build-up battery 11.8 volts Is this still ok ? Location Berlin, if this is important in terms of temperature. Best regards and all a nice 4th Advent