Orion,
The stock Parallax converter/charger is a poor one. Given enough time, it will boil your battery dry. For off season charging, a simple Battery Tender would be fine. And it would keep both batteries in shape together. I have three of them and use them on all sorts of seasonal batteries. They have never hurt a battery and never let me down. My batteries last a long time when kept up with a Battery Tender.
All that said, I'm going to change to a Progressive Dynamics converter at some point. I did that on my previous and current fifth wheel trailers. They are great. They charge the battery WAY faster, which becomes important if you are using the genset to charge the battery in a boondocking scenario. They have a true float mode like a Battery Tender and can be left plugged in 24/7/365 if you desire. They also have a desulfation mode to extend the life of the battery.
My decision will be whether to put a 4600 series into the Parallax chassis, replacing the stock guts, or mounting a standalone 9200 series under the sofa with a direct shot to the battery box below, and then disconnecting the Parallax charger. The shorter the cables, the better the charger works. I tracked down the charging cable in my current setup, and it is ridiculously long. They ran it over by the generator, then back towards the converter, then PAST the converter to behind the muffler, then doubled back into another of the black corrugated wire covers, finally heading towards the converter. I estimate they used 25' of #6 cable when the shortest path would have needed about 10'. That makes a big difference to the charger. Although all the tech guys say that a Progressive Dynamics is more able to deal with it than other brands.
The biggest hurdle to putting the converter under the sofa is finding a 120v line to power it. I haven't looked too hard, but I think I'd have to fish something up inside the refrigerator cabinet and into the overhead cabinet above the sofa. I'm not sure how do-able that is. If I was a serious boondocker, I'd have to find a way to do it. We hope to become more serious about boondocking in the future.