Hi,
https://www.openstreetmap.org/way/1429164939 is not a horse riding centre (leisure=horse_riding), it looks like a horse riding arena, similar to https://www.openstreetmap.org/way/958775278#map=19/47.524219/7.536824&layers=P (leisure=pitch + sport=equestrian). See also https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)