Greg:
They are worried about unregulated chargers ruining the electronics in things like your water heater and fridge. Your smart charger will work fine, it limits the voltage and will not damage the electronics. Like Willey said it will still take many hours with the 6Amp charger if you are running anything but lights off the batteries (even the forced air furnace eats up a lot of battery power).
For example, if you have 2 group 24 batteries (I'm guessing about 80A/H each) at 50% charge they will take at least 9 hours to charge using both the 6A and your built-in 3A charger. Actual time will be more as the chargers will not put 9A in for the whole time.
I'd recommend a charger like his, one in the 35-40A range. When I used one like that (a vector 35A smart charger in our old coach), it took only a couple of hours to get a good charge (from 50 to 95%) in the batteries.
It takes a lot longer to get the last 5% charge into the batteries because of the way they charge, so put the smart charger on it when you get home and leave it on at least overnight to insure the batteries are fully charged. Your batteries will be happy with you

.
Also, make sure to check the electrolyte level and only use distilled water if they are low.
Stewart