The internet says that you're risking damage to components and wiring in the charge circuit between alternator and hab
battery. In the past I thought the same and would have agreed but having spent some time doing the maths I think the opposite will actually happen and charging while driving will typically be slow to very slow. Actual real life users show the latter happens, So if you fancy being the WC Guinea Pig ...,.
WRT charging from EHU and
solar, Ideally you need different settings for lithium so that will depend on exactly what functionality/ adjustability that the charging system in the MH has. Some are adjustable to accommodate lithium, some would be suitable as is at a pinch.
Wasn't your control system mentioned in a previous post somewhere?