Sure it would "seem" to work without a problem. It should be compatible with either tank and I would go with the gray water particularly. The black should be left to its own devices to "digest" the waste in there and it is usually a much smaller tank.
Combined waste tanks will certainly work. Down side is that it is a much larger tank....usually. With two you can dump your gray water in a ditch or in the garden without food waste. It is not legal anywhere that I know of but I think Ca still gives you a tax break for "upgrading" your home to use waste gray water for lawn or garden irrigation. The Green freqs that I knew in the 70's were doing that to their homes. A little soap is a good thing for the garden but Drano isn't so you have to treat your gray water as though it were going into a septic system. I keep a 50 ft garden hose to allow me to dump my gray to a distant sanitary drain or?
?? With a mascarator pump you can send the black down a 5/8 garden hose to a distant drain.
I would still install it as it is a great appliance but you can only get use if you are parked with water available. I sure get a lot out of mine at home and I'll bet you do too.