I don't understand this answer.

As I wrote at the beginning, the area https://www.openstreetmap.org/way/1298119563 looks like a riding arena, and in OSM riding arenas are normally tagged with leisure=pitch + sport=equestrian. And that's how it was before you changed it.

It looks like you are mixing up the tags, because https://www.openstreetmap.org/way/795246825 is an equestrian centre and should be tagged with leisure=horse_riding instead of leisure=pitch.

This is correct: https://www.openstreetmap.org/way/287693369, compare https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian)