Just FYI, most LifePo4 batteries have a resting voltage around 13.3~13.4 when fully charged. However, to charge a battery you need a higher voltage than the resting voltage so somewhere around 13.6 will still charge a LifePo4 battery and above that, say around 13.8v you can fully charge a 12v LifePo4 battery. The difference is similar to filling a water tank though and as your use lower and lower pressure, the tank will take a lot longer to fill but will become full (assuming no one is using water).
Point being, even at 13.8 you can fully charge a LifePo4 but for the fastest charge, ~14.4v is common. Also, it is good to charge a Lifepo4 to 14.4 every few months if you use a lower voltage charging device as some Lifepo4's only balance the internal cells once the voltage is up above ~14v.
So, understanding whether a particular RV converter can fully charge a LifePo4 battery requires knowing the charge voltage and profile of the converter. Those converters designed for LifePo4's generally charge at 14.2 ~14.4v and those designed for Lead Acid batteries may have a higher voltage for the bulk charge and lower for the absorption stage, therefore it is best to lookup the charge profile (specs) for the installed converter. Some converters offer more control of the settings than others, so even one that has a constant output of 13.8v could work well, just a bit slower in fully charging a LifePo4 battery. ~CA