Paths and footpaths in England (and Wales?): designation for cycling

OK, but can you explain what you mean by ‘not compatible’ and ‘we can’t use them’? It would help me understand.

Looks like an excellent resource, thanks. The few paths I changed today agree on both OS and the council RoW on mapthepaths. so no harm done.

A question: if a track etc exists on OSM but does not appear as a RoW (or as a council road) on mapthepaths (e.g. https://www.openstreetmap.org/way/366787496, does this imply that the track/road is private (the example runs through a windfarm…)?