Sounds right but I might mention something that can confuse us.
When we look at a battery that is being charged we would expect higher than 12.8 as the charger is putting out higher so that power moves to the battery.
Depending how low the battery, the charger will often put out higher like around 14 until the battery begins to reach full and then a good charger/converter will back the voltage down in three stages, Bulk for big charge quicker, standard and then float. The idea being to adjust how fast we are charging to keep from overheating or boiling the battery.
What can mess us up is we will se that higher charge for a while after we take the charger off. It takes time for that charge to move all through all the battery and get stable to show the actual charge of the battery! Right at the post we may see 13+ if we have been charging but the normal lead acid battery will only hold near 12.8, so if we see higher, we know it has been getting some form of charge form converter or engine alternator? Just the way the chemicals work, so a battery reading 13. 2, just says it has been getting charged from somewhere recently. come back in a few hours and it will never show more than 12.8!
So the tricky part to watch is this. If you run the engine for a while and the battery is getting a charge from the alternator, shut off and see 13.2 and then you connect the cord and it shows 13.2 because the battery doesn't need much voltage now, you may not spot that the converter is actually charging, just not too fast??
If you turn off the engine and unplug, the battery will likely go down to 12.8 range. THEN if you plug in, you might see it jump up some if the converter is working!
We normally "float"/ maintain the batteries a little higher than 12.8 but not up like 14!
Just a word of warning to not let this sneaky part confuse you into tearing a cabinet apart to get to the converter.
Maybe it is working or maybe not??
Meanwhile, I did some looking on the parts drawings here:
https://catalog3d.winnebagoind.com/menu/Parts.htm
Drilled down to 110AC parts here:
https://catalog3d.winnebagoind.com/2019/321948.htm
Click these snbips to get a better view!
I find an inverter here that looks like what you may see?
Inverter and inverter switch?
If we look closer, it shows the inverter is plugged into what looks like a 110AC box??
And if we look at the back side, it "may" show a pair of clamps but no wires?
NEW INFO?
I also just found the converter as a separate item!
Near the same spot as inverter I think but different?
Maybe even in outside compartment?
Looks to be toward outside behind a big speaker? Maybe find it easier than looking at drawings?
So new idea is that this converter is what should be charging batteries, not the inverter! Neither are shown on electrical drawings where I can spot them. And to confuse things, the inverter is on the 110AC parts and the converter is on the 12Volt dc parts.
But if we look far enough at the 110AC drawings, I find the converter AC input shown but lacking info on the output to the batteries, etc.
This drawing does show from AC cord or genset to breakers and to converter as a path to check?
https://www.winnebago.com/Files/File.../000042798.pdf
Page 1 shows converter location, page 3 inverter that I don't think you need but page 4 has the path to converter and that seems to be what you need right now?