Welcome to OpenStreetMap.

Thanks for spotting the missing access=private tag on the allotment track.

For the foot=no tags added to the A523, I have checked the available Bing Streetside imagery for evidence that there really is a (signed) pedestrian prohibition here. I cannot see any TSRGD diagram 625.1 "pedestrians prohibited" signs on the imagery, so do not believe that a prohibition exists and have partially reverted your edit in https://www.openstreetmap.org/changeset/163794968

The wiki states that access tags reflect legal access. Subjective opinions about whether it would be pleasant, a good idea, safe, etc. for a particular transport mode are not relevant to legal access.
https://wiki.openstreetmap.org/wiki/Key:foot