The exemption from Plating and testing for our stuff is as follows:-
Goods vehicles first used before January 1 1960, used unladen and not drawing a laden trailer and trailers manufactured before January 1 1960 and used unladen.
So, if you pull a trailer with a load on, you are not exempt for the truck or the trailer. Regarding an articulated vehicle, the trailer is considered a load for the truck even if the trailer is empty.
The exemption for testing also removes the need for an HGV licence to drive it.
In the real world you can get away with a lot simply because most people in the relevant government departments don't know the regulations. It's all good till there is a problem such as the unfortunate accident in Holland mentioned elsewhere. Then the police and your insurance company get very interested in the letter of the law....