Plenty of "off road trucks" are just used casually for camping and traversing dirt roads & snow covered pavement. That being said, the CyberTruck will hold its own, it's going to have adjustable suspension with up to 16 inches of ground clearance, with a 35 degree approach angle and 28 degree departure angle: https://www.caranddriver.com/tesla/cybertruck
Given the tendency for Elon to lie and “just one more year” for things to come out and then when they do they are a shadow of what’s promised I’ll believe any of that when it’s actually for sale.
As for using it for casual camping who cares people take everything here camping. Heck I’ve seen plenty Tesla’s down FSRs here to go camping parked next to miata’s.