Interesting, though never had a reason to look before. Metered batteries@14.6 (solar cycle), turned off solar, ran fan to get down to about 13.3. Let set then checked at master disconnect. Turn off batteries, meter at camper side of disconnect, yes shows voltage but drop almost immediately to 4-3 volts then slows. Counting down same as OP. Turn back on then turn off noting second hand on clock-as volts drop so does speed, at minuet 3 it was down 0.20 volts @ 4min 0.10v at 5 min was at 0.05 volts-got tried of holding leads. Only thing that was on was lp detector-possibly radio standby. I would have assumed longer bleed down.
Yes battery draining due to parasitic load, and/or not receiving adequate charge - related in the fact weak batteries but different unrelated issues. Is truck only source of charge outside of shore power? You mentioned wire to alt- if on the small side you will see full voltage but its the amps you need and thats thru largest clean wire you can install. Don't forget you need good equal size ground wire.
I took the time to check our parasitic loads-just cause.
Turned batteries back on, meter @10 amp across disconnect terminals, turn off batteries so load now thru meter-drawing 0.05 amps, turn on light meter goes to 0.23 (8" florescent). Surprised me-parasitic loads only at 0.05a or 50 milliamp. Was always curious & assumed more.