I'm fairly sure there is a legal problem Rog, based on the way the law is on e-bikes. As you know, it forms a partial exemption from motor vehicle law, based on still being a bicycle or tricycle weighing less than 40 kgs/60 kgs respectively. So it's cross referenced to what is a bicycle or tricycle.
In all English bicycle law except one, reference is made to "Bicycles, Tricycles and Bicycles with four or more wheels". The one exception is the Countryside Act of 1968 which specifically gives bridleway access to "bicycles" only, and that therefore means bicycles only, not trikes or quad bikes, though Sustrans has gained a specific trike waiver since.
Unfortunately the British exempting EAPC regulations of 1983 only refer to "Cycles, Tandem Cycles and Tricycles", specifically no mention of four wheels. The EU regulations only refer to "pedal cycles and tricycles".
Therefore any argument that the linked bike and trailer are one e-bike appears to condemn it to illegality. And of course there's the stringent requirements of the EN 15194 CEN certification for e-bike technical specification.
Although there have been many private efforts, I'm only aware of two commercial powered trailers actually being marketed though I've seen other announcements from time to time. One was Dutch from The Cabbike company intended for recumbent trikes and bicycles, with motor and SLA batteries in the base and room for goods in the upper half,
shown here. The other was the £499 Trailec flatbed with a Currie Electrodrive motor on it's offside 20" wheel. Some of those might have been sold by Tony Currie from his former business and
here's a photo.