Hi,
https://www.openstreetmap.org/way/1385779113 is not a horse riding cemtre (leisure?horse_riding), it is a (large) horse riding arena. In OSM these are usually tagged with leisure=pitch + sport=equestrian.
See
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
https://www.openstreetmap.org/way/260655662 (example, riding centre containing an arena)