They should be automatically disconnected by the BIM (or LI-BIM).
If the chassis is getting drained by the house, there is either something ahoo in the wiring, the cross connect switch is permanently enabled, or there is something wrong with the BIM.
The cross connect switch is typically aux switch #2 - ensure that the setting for that is "momentary" in the Ram commercial settings menu.
This
post provides a quick functional test of the BIM properly isolating.
__________________
2021 Isata 5 28ss 4x2 / 2020 JLU Rubicon
Prior: 2016 Lance 1995 / Ram 1500 Eco Diesel
2012 Lance 1575 / 2015 Jeep JKU Rubicon