Hi,
https://www.openstreetmap.org/way/1372249131 is not a horse riding centre; it is just a horse riding arena. In OSM such arenas are usually tagged with leisure=pitch + sport=equestrian. See also:
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
https://www.openstreetmap.org/way/854412537#map=16/-34.80822/138.80594&layers=P (example)