Ciao,
the 3 areas you have added here as riding centers (leisure=horse_riding) do not look like riding centers, but like riding arenas; in OSM these are usually tagged with leisure=pitch + sport=equestrian.
Example of a riding centre with two arenas and a round pen: https://www.openstreetmap.org/way/83688245#map=18/43.344788/11.266321&layers=P
See also: https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)

Im JOSM you can tag the arenas with the preset for sport=equestrian.