Hello,
(also about https://www.openstreetmap.org/way/374455218/history ).  The changeset comment says "Correcting access / type where no ROW exists or where it is incorrect. Footpath only / driveways etc " which doesn't match the situation here.
It's tagged in OSM as a designated public bridleway (see https://map.atownsend.org.uk/maps/map/map.html#17/51.70149/-1.98439/H ) and the local authority also things it is one, too (see https://map.atownsend.org.uk/maps/map/map.html#17/51.70149/-1.98439/H/P ),  Something that is designated as a public bridleway would be expected to be horse=yes unless it is closed for some reason (perhaps safety, after a landslip).  Anything designated as a public bridleway is also bicycle=yes in terms of legal access tags, although it may not be suitable for regular cycling (and you can use other tags for that).
There's a discussion going on at https://community.openstreetmap.org/t/odd-access-no-tagging-of-uk-public-rights-of-way/132798 - perhaps pop in there and say hello?  You can login to that site with your OSM ID.
Best Regards,
Andy
