They are all the same foot fall. Same gait. Check videos, if you don't believe it. Some with more animation than others, but all the same gait.
I have already done the research. Where do you think the racking horses got their gait? Originated from the Paso. Ditto, the single footers are also racking, same gait.
Liz Graves, & Brenda Imus do not have a clue what gait is what. All they know how to do is write books, that are totally meaningless and incorrect. Not sure about Larry Whitsell, never seen any of his info.
You want to know why new folks to gaited horses are so confused. They read these nit wits books. Been there done that, not easy to get it straight. And you want to be even more confused, just talk to the Imus students, she and her organization taught.
Just put two computers side by side and play videos of the mentioned gaits in slow motion side by side