Have you been looking at American dictionaries?
I have worked on pavers all my working life, dirty horrid machines, unless laying dry lean. OK we called them barbergreens, but it simply means a hard durable surface has been laid.
As with many words there meaning can be changed over time and we come to think of a transformer as either a wire wound device or some film.
However most link back to Greek or Latin or French and from the A550 we have at least two pavements to Chester both no where near motorised traffic routes so not adjacent to a road, and of course you would need to define road. Even footpath it is not a right of way, unless so marked on the land register. Now bridal path was defined as a right of way for motorcycles, horses, and pedestrians but in most cases now do not allow motorcycles any more.
Mobility scooter riders
Skateboarders
Kids on scooters
Roller skaters
Inline skaters...
If we look at first group, they are split into three, up to 4 MPH, up to 8 MPH, and up to 15 MPH and insurance and road tax is required for last group. The problem is a racing cyclist doing 25 MPH is a danger on the combined cycle/pedestrian way, but a child doing 3 MPH would be a danger mixed with motorised transport, so simple way is a speed limit on combined cycle/pedestrian ways.
For mobility scooters it's not the speed that is the problem, it's the weight, I know my mother an amputee was about to run into some people so I stood between her and people so she hit me instead, it did not hurt, I was surprised I expected it to, but smooth surface and very little power or weight it simply stopped. This was at the time the largest 4 MPH model that would dismantle to carry it. However the 8 MPH models are far stronger and weigh far more, they may have a flick switch that puts them into 4 MPH mode, however if they hit you they will hurt.
So locally we have a guy who goes to pub on his 8 MPH scooter on the motorised traffic section, mainly as can't go up/down curbs, but it is a legal requirement to use the motorised traffic section, but the pedestrian way is empty, so cars brake hard when they come to him, swerve to miss him, and he is a real menace, and danger, but he does it because the law says he must. Common sense says use the path, law says use the road, why can't we have some common sense?