Hi,
I doubt that https://www.openstreetmap.org/way/1388723535 is a horse riding centre, it does not look like one. Did you have a look at page https://wiki.openstreetmap.org/wiki/Tag:leisure=horse_riding ? If the area is used for horse riding it is a horse riding arena and should be tagged with leisure=pitch + sport=equestrian. But probably it is something like https://wiki.openstreetmap.org/wiki/Tag:landuse=animal_keeping