I’m gonna think out loud here a minute, so feel free to shoot holes in this:

So this situation may argue for the lithium batts to be kept as a separate system to power an inverter(s), while keeping one or two LA batts to run the coach 12v systems. In this way the lithiums can be kept at a certain lesser state of charge for the long term while hooked to shore power over long periods.
??
This is what I was planning anyway, but might offer a side benefit I didn’t realize?