Welcome to OpenStreetMap and thanks for updating the map.

For Public Rights of Way in England, there's a more detailed scheme for tagging access and designation, which you could use, if it's of interest. (Note that it's not essential and there's absolutely nothing wrong with your edit as it is.)

For example, the LAT9 bridleway in this changeset could be tagged as:
highway=bridleway
designation=public_bridleway
foot=designated
bicycle=designated
horse=designated
prow_ref=Latimer BR 9

Details of tagging for various types of PRoW are at:
https://wiki.openstreetmap.org/wiki/User:Rjw62/PRoW_Tagging

There is also a website which allows you to check the status of PRoW mapping in some parts of the country. Progress for Latimer CP, Buckinghamshire is actually better than this suggests, as the tool does not recognise the current tagging using (e.g.) ref=LAT9
https://osm.mathmos.net/prow/progress/bucks/-/latimer/

I hope that the above is of some use or interest, but feel free to ignore it if it isn't.