Hi,
https://www.openstreetmap.org/way/1334653936 does not look like a horse riding centre (leisure=horse_riding), it looks like a large outdoor riding arena. I guess it is the arena of https://www.waterfallequestrian.com, some image from this website: https://static.wixstatic.com/media/228433_c1157235ecf84acdb160b2499376409b.jpg
In OSM riding arenas are usually tagged leisure=pitch + sport=equestrian. The arenas and the complete equestrian centre are different things and therefore should be mapped as separate objects in OSM too, examples:
https://www.openstreetmap.org/way/804467038#map=18/-43.574694/172.685654&layers=P
https://www.openstreetmap.org/node/8440089391#map=19/-43.571913/172.709836&layers=P
See also; https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)