For something like this, there are no dumb questions! Better to ask them now before you start.
Transfer switch. Three wiring hookups are required and two of them come from the "Prep" that has already been done at the factory. There is a loop that comes from the circuit breaker panel, located in a silver junction box located behind the access panel in the rear of the pass-through. The Hot side goes to the top left input on the transfer switch and the Cold side comes out the lower left Output side.
The third connection comes from the inverter and connects in to the upper right side of the transfer switch. Now the transfer switch has to determine what power inputs there are. If no shore power, the transfer switch "transfers" to the inverter as long as it is turned on. There's a time delay and then magically the microwave lights come on and the AC plugs are active.
Inverter remote. I'm trying to find a path to get it mounted inside the trailer but haven't found one yet. So, when I pull up to a site where we are Boondocking I simply reach in and turn on the invetrtern using the power switch on the back of it. Likewise, I turn it off when we are packing up. Not much power draw so I've been leaving it on.
I believe everything is working as designed. If you are running on inverter power and plug in to shore power or a generator everything in the trailer appears to work as normal. The transfer switch should recognize the external power and "switch" to the shore power source.
Tips. Research the entire project and take your time. I highly recommend adding a shunt so you can monitor the battery performance from your smart phone.
We've taken three Boondocking trips with the inverter so far and am very pleased with the performance. It sure is nice to wake up and not have to go start the generator before having a cup of coffee (Especially if it's earlier than generator-on times at the campground). Keep your generator handy because you'll need it after a couple days of partial or no sun.