How do I map a sidewalk/pavement with shared use for bicycle and pedestrians?

I'm trying to add some detailed mapping along a cycle route (the N72 in Newcastle,UK). This route is largely along peaceful designated bike/hiking paths that are away from the busy roads, but in some areas it briefly travels along the pavement/sidewalk by the side of a road.

Ideally I'd like to capture this detail in the tagging, preferably in a way that is useful to the various cycle maps. I've had a go at this section from William Armstrong Drive and along Scotswood Road, which I have currently tagged as follows:

Normal Cycle Path

The section along the waterfront, away from the road, is simply tagged as most cycle paths are:

highway=cycleway
foot=yes

Along the Pavement/Sidewalk

As the route comes up on the pavement alongside William Armstrong Drive and Scotswood Road I've tagged it as:

highway=footway
footway=sidewalk
foot=yes
bicycle=yes

which seems to be about as explicit as I can be.

Crossing the Road

I've also tagged the section where the route crosses the road as:

highway=footway
footway=crossing
cycleway=crossing
foot=yes
bicycle=yes

and drawn that through the highway=crossing node on the road (as recommended here)

So does this approach make any sense?

Logically it seems okay to me, but I'm a bit worried about how it will be interpreted and rendered by existing apps. (Yes I know we should be renderer-agnostic, but I don't want to break a route that used to work correctly).

Incidentally I can't just add a cycleway=track to the way for the road (as suggested in wiki) because unusually the road actually has a cycle lane on it as well (yep, a cycle lane on the road AND a signed shared-use pavement alongside it).