Stealthing is also a thing. It's challenging to stealth-mode (not look like a camper / home when you really are one) with a trailer, less so when you've got a single integrated vehicle.
Not that there aren't strong arguments in favour of trailers as well (you note several).
It's insane how many people think stealthing is a thing. No, your randomly parked commercial van does not magically blend into a neighborhood. Everyone knows that someone is sleeping in it.
Yeah but then you remember that that van was 200k so the person in the van is probably richer than you. Like nobody is going to say anything if you are sleeping in the Ferrari or raptor either.
Let Stealthing be the proposition p. If p is the case and ¬p the case, then the negation of ¬(p ∧ ¬p) is unsatisfiable.
QED there is a dude sleeping in that van for whom Stealthing is the case, and an observer outside the van for whom it is not the case; for all values of dude, van, and observer.
Not that there aren't strong arguments in favour of trailers as well (you note several).