Garbage vans and garbage workers are designed to handle hazardous waste, delivery vans are workers are different. It looks like the Scottish service used regular garbage trucks?
If by "designed to handle hazardous waste" you mean "everyone expects every part of them to be covered in garbage scum so nobody is surprised when any part of them is covered in garbage scum" then sure. There's really nothing special about their construction. They're normal trucks with purpose built bodies for minimizing the amount of space and labor needed to haul trash. The only thing special about them is a reduced expectation of cleanliness.
The only extra PPE garbage drivers around here wear (compared to a FedEx driver) is a reflective vest (which some FedEx drivers wear), safety glasses and work gloves. Those have to do with preventing physical injury as a result of the material being handled and the nature of the work, not with cleanliness. It's not a clean job but as long as you don't go licking the bottom of the truck it's not particularly dirty.
Some trash removal companies use trucks that pick up the barrels themselves which is a labor saving measure, not a sanitation measure (they actually spill more stuff than human operators do).
A delivery van is an irrelevant comparison. In vehicles that handle loose material the driver never rides in the same area as the cargo. All the various kinds of equally heavy vehicles that bring things to and from a construction site is a better point of comparison.
