Hi,
https://www.openstreetmap.org/way/1266576925 does not look like a riding center (tag leisure=horse_riding); it looks like a riding arena. In OSM riding arenas riding arenas are usually tagged leisure=pitch + sport=equestrian, example: https://www.openstreetmap.org/way/881079228. See also https://wiki.openstreetmap.org/wiki/Tag%3Aleisure%3Dhorse_riding