Unfortunately, you blocked pedestrians routing by setting access=no here.

The signage here is TSRGD diagram 953 "Route for use by buses, pedal cycles and taxis only". As UK traffic signs generally only apply to vehicles, this translates to OSM access tagging as:
vehicle=no + bicycle=yes + bus=yes + taxi=yes

Updated in https://www.openstreetmap.org/changeset/164936881