Hi,
https://www.openstreetmap.org/way/1424603543 does not look like a riding centre (leisure=horse_riding); it looks like a riding arena, In this case it should better be tagged with leisure=pitch + sport=equestrian. Compare
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
https://www.openstreetmap.org/way/930567407#map=19/51.763946/-10.101509&layers=P (example)