Hi,
https://www.openstreetmap.org/way/1240589249 does not look like a riding center (leisure=horse_riding), it looks more like a riding arena, I think. In OSM riding arenas are usually tagged leisure=pitch + sport=equestrian. In JOSM you can add these tags with the preset for sport=equestrian ("Equestrian Sport").

Compare
https://wiki.openstreetmap.org/wiki/Tag%3Aleisure%3Dhorse_riding
https://www.openstreetmap.org/way/498143073