Right of way for a raised crossing? The new Cycle Superhighway 3 goes through Hyde Park, London,UK on West Carriage Drive.
It contains a number of points at which pedestrians are evidently intended to cross, as the roadway and cycleway is raised.
Unfortunately, this is the best picture I have of one which was taken while CS3 was under construction: the raised segment of the crossing continues into the cycle lane.

However, I have noticed on my commutes that very few cyclists or pedestrians seem to know who has the priority at these crossings. They are not laid out like zebra crossings, as exist on some cycle lanes in london, which had led me to believe that the cyclists had priority, and the raised sections were advisory in nature to pedestrians, just like crossing islands are usually when not marked by a zebra crossing.
The highway code seems to me to be silent on the issue: it only mentions specific types of marked crossings, rather than generic raised crossings with no markings.
Who has the priority here?
As requested by one of the comments, this is what one of these looks like:


Both from West Carriage Drive in Hyde Park
https://maps.app.goo.gl/L3J2urZCehHJj1Uj8
The vehicular and cycle traffic has priority, since the crossing is not a zebra crossing and there are no traffic lights, which are the only situations in which the Highway Code talks about pedestrians having priority.

However, as you have noted, many people seem to be confused by the crossing, so you should be ready to stop in case a pedestrian does step into the roadway or cycle lane. Also, be alert to the possibility of motorists stopping and beckoning pedestrians to cross into your path and the possibility of a group of pedestrians blocking the cycle path because it was clear when they started to cross but now they're waiting for cars on the road.