Hi,
https://www.openstreetmap.org/way/1305333487 is not a riding centre (jezdecký areál, leisure=horse_riding), it is just a riding arena (jízdárna). In OSM riding arenas are usually tagged leisure=pitch + sport=equestrian, like https://www.openstreetmap.org/way/1255802562. See also https://wiki.openstreetmap.org/wiki/Cs:Tag:leisure=horse_riding