Haven't spotted either of my jet set guys to ask them about truck arrangements yet. But, even if you run the same DC every time and they assign you a specific truck, when you ain't there someone WILL be running that truck.
Even in my truck, where I run 6 days on and two days off, other people run my rig. I only ever leave my ashtray and CB in it when I go home. (Oh and window cleaner and paper towels.)