Crossing a cold blood and hot blood does not make up for centuries of refinement... I don't agree with calling the foal of a clydesdale and a tb a warmblood (as in, ranking it with a hanoverian), although it's ignorance to deny that warmbloods came from this cross (I'm not saying anyone here did, but I have heard this). The difference is centuries of refinement- Breeds don't just happen in one generation, it takes a lot of time to establish the qualities, etc., which make a breed- whether this results from extreme isolation, or specific crossings by humans, it still takes time.
I personally have no problem with calling a cold x hot blood a warmblood, as it makes sense... the problem is that the term warmblood is already associated with the warmblood breeds, which is why people get so offended. Given time, 'American warmbloods' will become a breed. But a first generation draft x arab is just a cross to me, nothing more than my quarter horse/ arabian. If you cross a qh/arab with a qh/arab, and then cross the baby with a qh/arab, etc., then we're getting somewhere, lol.
These are just my thoughts, I am not in any way slandering any breed or crossbreed.