Good advice posted above.
Short question: Does this unit come with an inverter?
No.
It has the 32" Furrion TV (FEHS32D9A) above the dinette and I was told that it worked without generator or shore power.
It is possible, but not likely that it runs on 12 volts.
The RV dealer says these include an inverter so AC could run without shore/genset and that it's part of the converter (WF-8955PEC) but I don't see that in the manual for the PSU.
No, you miss interpreted the dealer salesman's side stepping presentation. You can run AC and other 120 volt appliances using a generator if one is present. You can not run any of these things using the WFCO.
Some owners install an inverter to run low power things like a TV. A few install a large battery bank and a larger inverter to run a microwave for 5 minutes or so. Very few install a large enough battery bank, large solar array, and a large inverter to run A/C.
As no surprise, when on battery power, the AC doesn't lite the GFI LED nor is there 120VAC available. I assume I've answered my own question, but just curious if there's something I'm missing.
You are not missing anything.
I'm coming from a Northern Lite TC which I could boondock with no power for days and still have access to the fridge/TV/radio/etc without genset..
Fridge, furnace, water heater, lights, and other 12 power or propane devices can be run on a 200 to 400 amp hour battery bank for a few days. Batteries will then need a full 14 to 18 hour charge.
You can put an 80 - 90% charge in 4 hours, but batteries still need a 14 to 18 hour charge after a week and before putting into storage.
A 200 - 400 watt solar array could provide the short daily charge needed to keep up the battery charge.
A/C will require shore power or a 2200 - 3000 watt generator.
I wish you good luck and happy trails ahead!