I have learned as well that TB/Draft horses are American Warmbloods. Listed above came from the American Warmblood Society website, clearly stating that a tb/draft is one type of American Warmblood.
On another note, why does it matter so much if this horse is or isn't a warmblood? Enjoy the pictures, and get on with it. In reality, it doesn't really matter.
I know all about the AWS and while there is a breeding section (only for those that have attained inspection scores over 75 %) it is primary a PERFORMANCE registry.
Please also note the purebred arab, TB and draft are NOMINATED only not registered.
The TB/draft is simply one type of draft cross. Who knows with selective breeding and culling a form of American Warmblood will come into being but the FIRST step is to have the horse registered and bloodlines recorded for future breeding with crosses from that animal being culled (not approved for breeding) if they don't measure up to registry standards..
To arbitrarily state that my morgan/draft/hackney/tb is an American Warmblood without inspection and registration because it is a draft cross is irresponsible no matter how well it appears.