I had not thought too much about problems with adding lithium on trailers as charging is different than motorhomes.
As I understand the main issue on motorhomes that have parts to connect the tow vehicle alternator to the coach batteries is one of possibly overheating the alternator. Lithium can take a much quicker charge than lead acid, so if we just conenct lithum to the normal alternaotr, the lithium can take too much current for too long as they are connected while we drive, by OEM design.
But in a trailer situation, you have a different situation and can make different arrangements depending on how you want the lithium charged. If you make the connections from the tow hitch connection to charge the trailer batteries from the tow, then you have to deal with not overloading the alternator with too much current flowing for too long! It's a gradual process and takes some time but it is also hard to say how much, how long, for how much damage?? One thing that limits the damage prospects is the wire size from front of tow vehicle to trailer hitch as they are often not large enough to carry a really large load. They may melt down before the alternator overheats but that is kind of a guessing game!
But if you don't make any connections or plans to charge the trailer as you drive and it is not connected to the alternator, no problem overheating it!
Normally the traier items like lights, turn signals, brakes are all powered from the tow vehicle and no problem as they are not connected to the lithium feeding the other parts of the trailer like inside lights, etc.
On trailers the parts that work when the tether is unplugged are one group while the parts that work when plugged to tow are a different group and they don't connect until we make some provisions for doing that!
But that often gets back to how you want to get the trailer batteries recharged!