Footway is a perfectly good and legitimate word meaning specifically:
A way or path used chiefly or exclusively by pedestrians; a footpath.
2014 Plymouth Herald: We carry out regular inspections of the city's footways and roads but defects can develop very quickly.
Whereas pavement means just that:
A paved surface formed of stones, bricks, tiles, or similar materials fitted closely together.
There is also foot pavement which combines the two.
A pavement might be used by people with wheeled vehicles, bikes, scooters, wheelchairs.
Footway comes from German and pavement from French.