regarding https://www.openstreetmap.org/way/962492246 I don't think there's any signage present indicating it's a shared path.

On my 2018 imagery https://www.mapillary.com/app/?pKey=927023981175171 there's nothing visible, but it could have changed recently, I'll make a note to double check, but the council has a few paths around there that I think were intended to be shared path but they never installed any signage or painted any bicycle symbols... in which case they are only shared paths on paper not in on the ground. I'll make a note to check again.