Thats clearly a TRO - as those are the signs used for a TRO prohibiting vehicles except for access. ( I know, when i was the ridgeway NTO we used to administer about thirty winter TROs on byway sections)
However TROs of this type are not common on roads in england (Restricted Access TROs are much more common on byways usually for winter months only) and as i said before with the exception of traffic regulation orders misuse of a right of way is an issue of civil trespass against the owner of the land that the right of way crosses (rights of way do have owners - the highway authority maintains the surface to the depth of one spit (spade depth but the landowner retains title to the underlying ground.)
I'd also note that although the police can issue a £30 fixed penalty for violating a TRO, if the driver refuses to take it ithis type is virtually impossible to enforce in court unless the police have observed them entering and cutting through without stopping - as the driver can simply claim I was dropping something off at house x ( and thus legitimately claim that their use falls within 'access' ) for this reason most forces wont even try to enforce them and rely soley on the deterent effect of the signs
incidentally a give away that this is a TRO not straight forward road signing is the duplication of the sign on both sides of a single lane highway - this is required for legal enforcement of a TRO - if there is only one sign the TRO cannot be enforced. Whereas routine road signing only requires a single sign facing the direction of travel
None of which has anything to do with the matter at hand (sorry Yv)