Footway is the correct term - Pavement is any paved area or hard standing. However, rule regarding parking on it or riding on it date back to the The Highways Act 1835 and the Local Government Act 1888.
Footpaths, pavement and footways are all different. The OP may actually be describing a "paved area" with no legal status other than any rights/restrictions expressed by the land owner.
Most of 1835 Highway Act has been either amended or repealed, but clause 72 remains in force and governs the rights to ride or drive on the "pavement"
“If any person shall wilfully ride upon any footpath or causeway by the side of any road made or set apart for the use or accommodation of foot passengers; or shall wilfully lead or drive any horse, ass, sheep, mule, swine, or cattle or carriage of any description, or any truck or sledge, upon any such footpath or causeway; or shall tether any horse, ass, mule, swine, or cattle, on any highway, so as to suffer or permit the tethered animal to be thereon.”
A pavement only becomes subject to the above if its adjacent to a highway.
My suggestions are not legal advice