I absolutely agree with you.  Ponies are under 14 hands, 2 inches. Ponies are ponies.  I had a Connemara pony that looked better than most thoroughbreds, she was NOT a horse, she was a pony.  Many of the horses today that are showing at the Grand Prix level are large, big boned warmbloods, so the idea that miniature horses look more like horses (in conformation) no longer holds true.  Horses, animals standing 14 hands, 2 inches come in many shapes and sizes, some have feathers on their legs.  Any animal under 14 hands, 2 inches is a pony....like, a pony by any other name is still a pony. 

Warmblood has nothing what-so-ever to do with temperature of the blood.