Good catch. I meant to use leisure=pitch sport=equestrian in these cases, though you’re right that some of them look more like paddocks.

The translations are fine but I still got confused. Vietnamese has very similar words for “riding arena” (“sân cưỡi ngựa”, literally “horse riding field”) and riding centers (“khu cưỡi ngựa”, literally “horse riding area”). “Khu” and “sân” can both refer to something as small as a playground or basketball field, but “khu” can also mean a neighborhood.

I think I fixed up the horse farm and mapped another one nearby. Please feel free to make corrections as necessary.