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From what I saw as a kid, most families who liked to "go camping" had the family car period. They may have had a tent and some gear they stowed in the trunk (ok for Dad & the boys) but when they could move up to a better arrangement they bought a covered utility trailer which could be used for hauling stuff for the home etc or taking the tent and camping gear to a camps site and the emptied trailer then serve as a sleeping shelter for Mom and the girl(s).
During WW2 a lot of "state side" military personnel who were married without kids owned a "Teardrop" trailer which was basically a bed on wheels with a small kitchenette on the back.
Essentially it was basic lodging while traveling. If staying in a campground there would be restroom & shower houses to use.
By the mid 50's post War era the "Ham Can" trailer became popular for camping or road tripping. (touring) In those years cars/pickup trucks didn't last as long (you were lucky to get 15K miles) on a set of tires then. A 50's model car would get 50 to 60K miles on it before owners sold or traded it. So the trailer was more practical than building out a panel van of that era. Today a lot of people still prefer a 5th wheel trailer so they can have the truck to run errands with when camping, or if in the worst case if the truck was beginning to have problems they could replace that truck with another.
Panel Trucks weren't really fixed up like the 60's era Vans. They were seen as commercial delivery vehicles and most likely listed as capital equipment in businesses and thus not used for personal use such as camping or touring.
I only saw these being restored and fixed up as party rigs in the 70's
with much later engine swaps. (notice the sign on the side of the truck) As a kid, I was a paperboy delivering newspapers door to door in my neighborhood. A truck like this would deliver the paper bundles and I was waiting for it when it came. Most of these had 4 main bearing inline 6 cylinder engines with some being flat head's and some having overhead valves. Best suited to route delivery or short hauling. They didn't get great gas mileage as they were geared low for hauling loads, but then gas was around .20 cent a gallon back then. One of these may have cost $1,500 new back then.
The Internal Revenue was a force to be reckoned with in those times, so if a truck like that was listed for business use the owner would be held accountable. Likewise many Cities required a commercial truck to bear a sign associated with it's company too. An owner may have used it on a weekend to move some personal belongings, but likely never using it as a "camper".
By the early 60's a lot of late teen aged kids wanted a Van to make into a party wagon or beach hut for Surfing. Their recreation was to visit several beaches to "check out the surfing there". Building out a Van seemed to launch from there as magazines and popular music show cased the lifestyle.
Youtube song:
Chevy Van by Sammy Johns