I don’t think Reagan ever owned a Thames van. Feels too British, even despite his famous compatibility with the UK’s Margaret Thatcher. Reagan did own a Subaru Brat, though:
You can see him with his Brat here, which appears to not have the in-bed, rear-facing, handgrip-equipped jump seats, and instead has an open truck bed, which in this picture is holding a large dog, which, based on Reagan’s body language, may be a filthy commie that needs to get out of the truck, stat, pinko puppy. Glad to see you (apparently) have power, Jason! The retaliatory tariffs had the VW Transporter in their sights and incomplete vehicles were excluded because at the time the only trucks being imported from Japan were the BOF Datsun pickups which started being brought in as chassis-cabs with the beds imported as separate flatpacks and dockside assembly plants set up in SoCal.