Cyclists who ride on the pavement (footway) usually do so because they are afraid to ride on roads that are filled with motor vehicles often driven by aggressive or careless drivers. Once there is decent cycle infrastructure, separated from motor traffic, there is no need to ride on the footway. Good quality protected cycleways are great for pedestrians.
Think about it. Why would anybody who wants to get somewhere on a cycle choose to ride on a footway, with kerbs to go up and down, pedestrians and dogs (not to mention parked cars) blocking the way, having to stop at every side road and lose all their momentum, if there is a good quality protected cycleway?