In this video, I do an experimental test by charging my Lion Energy UT1300 batteries using my regular OEM lead-acid converter/charger and my InteliPower PD9260 converter with the optional Charge Wizard pendant. The Charge Wizard allows me to override the normal lead-acid charging algorithm and put the charger into 14.4V manual boost mode.
I discuss how this is effective at charging my RV lithium batteries and how standard RV battery chargers won't work as well. Lithium batteries require anywhere from 14.2V to 14.6V of constant charge voltage. This can be accomplished with a lithium specific charge converter, some sophisticated hybrid inverter/chargers often found in higher-end RVs, and as you'll see via the manual override pendant on my PD9260 InteliPower charger.
I also demonstrate in the video how many of the OEM charging setups produce poor amperage flows to larger lead-acid battery banks and lithium type batteries. This is due to small charge cable gauge and long wire runs. My theory is they do this to save money on cable, make the installation easy next to the power center, and reduce the chances of overcharging lead-acid batteries. I guess better to chronically undercharge them than to risk overcharging them producing excess gassing and possible boil overs of the battery acid.
I have never charged our LFP battery past 13.65v. There really isn't much meat on the bone for capacity past that. For your Lion batteries with the BMS it is safe and will allow faster charging for the top end of the batteries capacity though as the charger won't begin tapering charging current as early and the BMS should shut down charging when the fastest rising cell(s) get to max. Now that I am running a BMS system I may try bumping up my max charging voltage as well.
I removed the stock converter charger from our trailer. It was located in the basement, still a good distance away from the battery and to compound the issue it was routed through the DC main distribution panel first and then into the front compartment where the lone 12v led acid battery resided. I never tested it but looking at voltage drop though 6AWG cables a distance over 15 feet or so doesn't look promising...