I believe there's some language in the manual about the protection circuit also being tripped when "total power usage by all electrical features (headlights, air conditioning, etc.) has exceeded the total vehicle maximum for an extended period of time."
Unfortunately I don't have the power folding seats in mine.
My most recent trip was about a 4hr drive (w/ AC and headlights on). I started with a nearly full battery. Fridge was plugged into battery and battery was plugged into the rear outlet. Initially I could see that the battery was being charged, but sometime during that 4 hour period the protection circuit kicked in and the battery was no longer being recharged. My battery capacity is 33Ah and I have a 100W portable solar panel. I was able to just barely make it through two nights. It doesn't seem like there's an easy mod. I think what I might do is look into getting or doing a DIY on a larger capacity battery.