Hi,
https://www.openstreetmap.org/way/1304953704 and https://www.openstreetmap.org/way/1304953705 are no riding centres (tag leisure=horse_riding), they are riding arenas. In OSM riding arenas are usually tagged leisure=pitch + sport=equestrian, like this one: https://www.openstreetmap.org/way/653523408; compare https://wiki.openstreetmap.org/wiki/Tag:leisure=horse_riding