In reply to joem:
The wording is subtly different.
No person shall without reasonable excuse ride or drive a cycle,
motorcycle, motor vehicle or any other mechanically propelled
vehicle on any part of the access land where there is no right of
way for that class of vehicle.
vs.
No person shall without reasonable excuse drive, ride or
propel any mechanically propelled vehicle or any pedal
propelled vehicle on any part of the Access Land other than on
a highway where there is a right of way for that class of
vehicle.
---
I suspect the "or propel" is to avoid the defence for pavement parking (not illegal) not being evidence of having driven on the pavement (illegal), i.e. "I pushed it on, guv". It does seem to suggest that you can't really cycle-backpack, though, as pushing your bike to a suitable camping spot is no longer allowed.
I'm not quite sure why it says highway - that would appear to disallow use of bridleways, BOATs etc, but it's not in the Authority's gift to do that - a public right of way is a public right of way. This has come up elsewhere, where the likes of the National Trust and MK Parks Trust would like to regulate events taking place on public rights of way through their land, and have text on their website sort of implying this, but in fact have no right to do so.
Post edited at 11:52