For Greenwich, the only automatic consequence of inscription is publicity, which may or may not be a benefit.
An enlightened Management Plan for Greenwich could bring advantages by encouraging co-operation between the major landowners and public authorities which control the designated area.
Some undoubted improvements have followed the designation of Greenwich as a World Heritage site, like the example below.
A new walk was opened in 2000 making it possible, for the first time, to walk from the Royal Park, through the grounds of the Maritime Museum and the Old Naval College, across Romney Road on a raised pedestrian table (shown above) to the River Thames. This is a great new amenity for Greenwich. The gravel surfacing is an excellent surfacing, though the concrete kerbs (shown below) jar the eye when seen beside the old limestone kerbs. Stone develops a patina as it ages; concrete stains and cracks.