Just to hopefully clear up a couple of things:

Motor vehicle access is implied "no" on footpaths (it should actually highlight this in the iD editor!). It is still good practice to be explicit, especially for pavements in the UK so this work isn't wasted.

To decide access routing software should look at the "access" tag then the individual foot/bicycle/motor tags.
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I've removed the access=no tag on a couple of ways that aren't pavements as could still legally be accessible to cyclists. e.g. https://osm.org/way/943374864

I've also updated the tags to use the more standard highway=footpath ones.

PS great work mapping the pavements btw!