Hi,
https://www.openstreetmap.org/way/1396508041 is not a horse riding centre (leisure=horse_riding), it is a horse riding arena (probably belonging to https://www.openstreetmap.org/node/12925272517 (Les Ecuries Smith-Huet).  In OSM riding arenas are usually tagged with leisure=pitch + sport=equestrian, see https://wiki.openstreetmap.org/wiki/FR:Tag:leisure=horse_riding.
Here is an example of another horse riding centre with several arenas: https://www.openstreetmap.org/query?lat=47.458367&lon=-0.486478#map=17/47.458451/-0.486118&layers=P