Hi,
https://www.openstreetmap.org/way/1433533337 and https://www.openstreetmap.org/way/1433533338 are no horseback riding centers, they are outdoor riding arenas, see https://www.youtube.com/watch?v=EixOrrGnfVA&t=141s and should be tagged with leisure=pitch + sport=equestrian (like https://www.openstreetmap.org/way/1172537866#map=18/38.863393/-94.580416&layers=P). See also https://wiki.openstreetmap.org/wiki/How_to_map_a#Riding_centre_(equestrian) . In JOSM use the preset for sport=equestrian to tag riding arenas.