Another update. My installer is being unresponsive, and I was still having the same issue - battery at 100%, not discharging. I found the reset to defaults button (thanks and apologies to ToothyChris for not trying his suggestion sooner) and applied it. It took two attempts, but it succeeded on the second try. After this, my battery immediately started discharging as expected. Problem (hopefully) solved.
However, I was wondering if anyone might have any insight into why this might have worked? There were no changes to the settings on/near the night that the battery abruptly charged to 100% and stopped discharging. Below is my remote control history.

On the 15th, we can see my initial restart of the inverter (which did not help the issue). Later we can see my read of all unread registers, For reference later, note that my "Enable AC Charge Upper % Limit" was false, with a percent value of 4.
Later on the 16th, we can see my reset to defaults take effect. We have the modification to the Battery Resvere % Limit (expected, as I had previously modified it from 4 to 6 on 06/12 and 13/12).
However, we can also see my AC Charge Upper % Limit was reset from 4 to 100. I can't imagine how this value would have mattered, as the Enable AC Charge Upper % Limit value was set to false and (I assume) should have been an inert value. Additiionally, we can see from the full history that the value had never been set (at least not via Remote Control), and yet it still as reset to a new value.
Other than that, there's no evidence that any other values were actually reset by the reset to defaults, and yet that is what solved the issue.
Do I chalk this up to sometimes needing to "turn it off or on again", or could there be an underlying issue worth further investigation? Perhaps a bug in the software/firmware?