Umm, they are of Iberian origin, yes, but they don't look baroque. Similarly Chilean Horse, which I've read of as the oldest stock breed in the world. As far as I know, stock horse term refers to the use a breed was created and has been most commonly used for. Mustangs also should be classified as baroque due to their origins, then, as they come from the horses brought by the Spanish. Baroque horses are said to be predisposed to and most often used in classical dressage, and I don't think I've ever seen or heard of a Criollo being trained in that.
I'm just trying to understand what's the reasoning behind that classification