As an aside, it should be noted that the table at https://wiki.openstreetmap.org/wiki/OSM_tags_for_routing/Access_restrictions#United_Kingdom implies that access restrictions across the United Kingdom are uniform. They are not. As an example, the rules in Scotland are substantially different to the rules in England (and Wales).
The rest of that paragraph is largely rubbish too - the statement "The legal status of cycles on public rights of way in England and Wales is disputed. On pavements, it is illegal to cycle unless designated … but on public footpaths the law is less clear " is one that is only advanced by the extremist end of the pro-cycling lobby; even Cycling UK (who can be relied upon for many daft suggestions) aren’t sure and only “suggest that it should be allowed”.