Mmmmm. Certainly different than our, much older, system(s). Sounds like your AC system is perhaps ducted.
Ours is totally separate, both AC and furnace have separate controls. Air conditioner is 110V shore power and the furnace is propane/12v battery. Furnace is controlled via a wall t-stat and the AC controls are unit mounted.
Sorry, can't be much help. Maybe someone else can chime in.
Alan