Hi Barry,
Absorption fridges are terribly inefficient. I don’t have exact figures handy and it’s been a while since I had an absorption fridge, but based on my experience and memory I believe the amount of power drawn by an absorption fridge is something like 4 times that of an equivalent compressor fridge.
If you don’t really need the ability to run on propane, you’ll be better off replacing the fridge with a compressor model, which also do better at staying cold, don’t need to be level to run, gives you more interior space as there doesn’t need to be as much bulk on the exterior of the rear of the fridge, and won’t set your RV on fire. You can find 12V/120V models designed to be fit into RV fridge locations replacing an absorption fridge - Dometic DMC4101 and Furrion Arctic are a couple examples. Absorption fridges are the best option if you run primarily on propane, but IMHO anyone with even a fairly small solar setup doesn’t need to. The compressor fridge will both use less power when running, and cycle on/off, whereas the absorption fridge will draw more power constantly without cycling.
Your current fridge might have the ability to run on 12V DC as well, which would save inverter loss and allow you to turn the inverter off without interrupting refrigeration.
The diversion power is not stable - a cloud passes over and the amperage drops. If the amperage drops below what the fridge needs (or 400W inverter if you don’t have a DC option), it will shut down. If you managed to devise a way to switch it back and forth to propane based on amperage coming in, this would likely result in a lot of switching back and forth which may be hard on the fridge and lead to premature failure - to be fair this is speculative on my part though. You could possibly use the diversion current to both run the fridge and keep a small dedicated battery topped off.
Absorption fridges work off of any source of heat, which is what allows them to run on propane. When run on electric, the electric simply heats it up as the propane otherwise would. So it may work to use diversion power to run a heating element in the same way, which would be tolerant of amperage drop, and use your main stable power source for the electronics. I don’t know how complicated that might turn out to be, but it seems feasible.
I don’t think that there’s any remote switching ability built in to the SBMS system, but it seems that you could devise a separate switch based on the amount of current coming in. Or if you use a 400W inverter, you could have a switch based on loss of AC power.
I definitely advise going the compressor fridge route, but it would be a very interesting use of diversion power to offset propane use on an absorption fridge.