I always thought the solar panels were just used to power the internal aspirating fan, and the batteries powered everything else. Since the fan only runs during the day, my thought was that it was wired independently from the batteries and not in series with the battery. I think if the solar panels were covered and blocked from the sunlight that the fan wouldn’t operate. So, I’m pretty sure the fan isn’t drawing any power from the batteries. But what do I know?
It would make more sense to have the solar panels in series with the batteries so it could also recharge them.
Not sure how you will determine if your batteries are being recharged. So, I'm looking forward to finding out what you determine.