If you come from the south (Greens Hill), you can continue north down Greens Hill to follow the trail, however it's not signed the trail also goes down this way. (only return south down Greens Hill or north up Bleach road are signed)

I was wondering whether there isn't an additional sign which points north up Greens Hill. It seems there isn't though. Is this something which we could add in way of a description/note/direction tag of sorts to indicate continuity of the route?

As a sidenote, in Germany there are some routes which are not signed in places and therefore not fully on OSM. In this case, there's only one arrow missing, so it's not that we have to remove the relation from the way, just that it's slightly unclear when coming from a single direction.