SK53
Looking at the map, the various byway/restricted byway things more or less indicate that the roads after Honey Lane turns to the N are not adopted and probably should be service with the appropriate designation tags and access tags. 

From memory along the edge of the wood from Dew Drop Inn to Channers is more track than service road, but these things do change.

I do have RBWM PRoW data downloaded so I can have another look at it. There's a decent visualisation here https://www.mapthepaths.org.uk/?lat=51.526548060875825&lon=-0.8115985281274191&zoom=3&mode=0