Hi,
https://www.openstreetmap.org/way/1346457714,
https://www.openstreetmap.org/way/1381267275 and
https://www.openstreetmap.org/way/1381267276
are no horse riding centres (leisure=horse_riding), they are horse riding arenas and, according to the wiki, should be tagged with leisure=pitch + sport=equestrian. (Maybe they belong to some horse riding centre which is not mapped yet.) See
https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)
https://www.openstreetmap.org/way/1281201155 (example 1),
https://www.openstreetmap.org/way/1254396877 (example 2),
https://www.openstreetmap.org/way/283551442 (example 3)

