I’d keep Crabbet Arabians in my buy list. The Blunts were looking for pure blood in the desert, and the Bedouin tribes they bought from did not usually ride with stirrups, therefore they had no defense from the jolting of the trot. I imagine the Bedouin allowed any easy gait their mares came up with to keep up with a walking/pacing camel.
The last Arab I gaited (fox trot) is probably pure/mostly Crabbet (passed on with no papers, a thrown-away mare.) She responded the first time I asked her to gait. My Davenport Arabians took a little longer to respond, three times? (The Davenports went quickly from WTF to “sure, I get it now!”) I suspect that many of the Arabs that do not trot especially high have an easy gait somewhere in there, but the rider usually HAS TO ask for it unlike TWHs or Pasos.
Those sweet faced Crabbet Arabs are a lot more talented than they are given credit for. All you have to do is ask in a way that the horse can understand.