Ok, actually I do not think it is the converter,, Though WFFCO converters, made in China, are not well noted for reliability (in fact they are well noted for swift failure).
Here is what I think is happening.
First: your batteries are not reaching full charge. 13.6 volt will get you there or darn close to it, given a couple of weeks but you really need a 3 stage converter, I recommend a Progressive Dynamics 9200 line.. I have found some I'd rate as GOOD (IOTA with IQ-4 is as good for most users) none better (For me the 9200 is ever so slightly better by the way, but I'm odd).
Question: Are you measuring battery voltage AT THE BATTERIES? or elsewhere (A display panel in the RV)
Now: What is happening:
Dirty connection.. I'd start by cleaning the battery terminals, then the ground on the battery negative cable, then start following the power line and clean anything that looks like it needs it.
Your description fits best on a high resistance connection.
You can use your volt meter to find the tribble as well. Here is how.
I just picked up a new light blub, 75 watts at 12 volts (fits a trouble lamp) get one in the 50-100 watt range and a trouble lamp that can use it.. Hook this to something that is a ways from the battery (like the power lead TO the water pump) and turn it on.. Now you have a load so you are load testing.
Follow the power with your volt meter.. If you pass a connector, be it a battery terminal (Check the battery post and the lug around it) or a circuit breaker/fuse holder just a distribution panel. and the voltage suddenly drops a volt.. You have found a problem (or a significant part of a volt)
If moving from one end of a wire to the other causes voltage loss.. Inspect the wire, You may need a heavier lead or .. In my case, it was defective and I found a point where there was a "Bulge" in the wire,, Slicing it I found corrosion and then I cut it back and spliced it.> Worked great.