There are indeed such signs. I'll leave the issue for now, but my position remains unchanged

I'm not only talking about NCN signage, there's plenty of other signs, presumably National Highways signs, saying that the path is for bikes and is a "cycle track". It's one thing for National Highways to be not enforcing the legislation, but it's another for them to be putting up signs that contradict it. I don't see where the community consensus is on this

If there's community consensus then fair enough, but I can't find evidence of it. I feel in this case the signage and usage of the south path is very clear in that bikes are allowed, it's part of the NCN, and this is more important than outdated legislation

I thought that we should always map from on the ground signage and usage. Am I mistaken?

see
osm.wiki/Ground_truth
https://community.openstreetmap.org/t/differences-between-osm-and-sustrans-mapping-of-the-uk-national-cycle-network/134337/3

Remove? No matter proposals, the area is clearly not currently industrial

The name seems nonexistant. As for the area, the closest I can find are proposals for housing developments that roughly fit the area