Actually, going back through the pedigree, the only Paint comes from White Cloud, 5 generations back. That means the OP's horse is 96.875% quarter horse.
If AQHA wants to keep tobianos out of their registry, that's one thing. There is a genetic test for tobiano, but I bet even a negative test still wouldn't allow that horse to be registered AQHA even though that's what she is for all intents and purposes.
American Quarter Horses and American Paint Horses are two different
breeds. The QH was created through breeding stockier TBs down into what we now know as a Quarter Horse. Paint Horses are descended from Spanish herds brought over by explorers. Yes, the two breeds have merged quite a bit, but tobiano will NEVER exist in Quarter Horses. It is not part of the breed. Just as cream will never exist in Arabs and dun will never exist in Thoroughbreds. They are separate breeds and will be that way. The only reason they are merged is because the AQHA valued solid colored horses, so when random, loud colored babies were being produced, they were entirely frowned upon and choose to basically shun them.
And based on your logic, the AQHA registered horses that are actually nearly completely Thoroughbred should be registered with the Jockey Club. Horses like Indian Artifacts that are only 1/4th Quarter Horse.
Also, Verona, if what you were saying was true, I would also own an APHA/AQHA horse. I have a solid Paint bred that is 89% Foundation Quarter Horse. There is ONE line of tobiano on my mare's pedigree that would keep her from being AQHA also. Her APHA dam is linebred Skipper W and Sonny Dee Bar, both of which are known to carry white patterns and produce loud foals.
And, for the record, Redfox, your mare is about 78% Foundation Quarter Horse.