BEP VSRs are now all dual sensing.
For the battery voltage to drop to 12.8 volts, the charging source must have been removed, or an exceptionally heavy load must have reduced the voltage of all batteries being charged, to the cut out voltage. This occurs so as to prevent a discharging battery from discharging the other batteries connected in parallel via the VSR. This is not a disadvantage, it is an essential feature.
The only way that I can see a VSR preventing parallel connected batteries from getting adequate charge is if something inhibits the ability for the voltage of one or more ba