Try the fan again on battery voltage of 12.x and see if it runs.
It would be silly for the fan to not work at 14.x because on a hot day when you want it, your solar could be at 14.x.
You want a normal converter that does 13.6 most of the time installed in the RV. You could keep the one you have as a portable charger using jumper cable ends for the output to clamp onto a battery. Float the LFP at 13.6 and haul out your portable charger to do the 14.x thing as required.
You can unscrew the bottom of the fan housing ( also the lid crank handle) and see the wiring to the various parts including the CB and wires up to the top of the motor. You can trace the voltage with your meter in different spots to see where there might be a problem.
One I installed had voltage except up to the motor. I happened to tap one of those connections and suddenly the fan started! That is also when I learned about the fan direction rocker switch trick mentioned earlier.