Thanks for the link - an interesting read (and irritating for mappers and the public, naturally! Councils' ambiguous application of signage, standards and byelaws certainly makes a mess of the situation...)

My main concern on that particular way is that it was set for cycles only with no provision for foot traffic, when the exact opposite appears to be the case on the ground. Historically it was always a footpath (hence changing to footway), and on a recent visit I saw no signage designating it for cycles. It also has a rather dangerous blind junction at the south end (incidentally with a path which *is* explicilty marked as a shared cycleway). At the north end the footpath joins with a segregated foot pavement (physically separated from the cycleway), and the path itself isn't in a park, although Lampton Park is in the vicinity.

So I think this one is a bit more clear cut to be honest? Although separately to the south, where the adjacent shared cycleway joins footways in Lampton Park, which I updated with cycle=yes (at least all those that are wide enough and have good sightlines), your method of cycle=permissive could be more appropriate.