[folivier]

Battleborn states the accepted range for bulk and absorb is 14.2-14.6 volts. Absorb time should be about 1/2 hour per 100 amphour of battery capacity. Don't equalize. Float at 13.6 max or lower. No temperature compensation needed.

What concerns me is your stating that "Most of the time (on shore power,) the display indicates "Constant Voltage (14.3 - 14.6V) +(0-10A)" It occasionally reads "Quiet Mode 13.6V"
To me it seems that your BBs are being held at too high of a voltage even though they aren't taking any more amps. Once they progress through what BB says your charger should enter float, or maintain, or not floating, at 13.4+- volts. If you have a SOC (state of charge) reading on your inverter it's easy to calculate how long it should take to charge your BBs. For my 300 amp system if I'm at 50% then I need to put in 150 amps so it's about 1.20 hours + the absorb time I have set. So after 2.5 hours I am sitting at 13.4 volts.