The only discipline that uses a cutback saddle is saddleseat.
Saddlebreds, Arabians, Morgans, National Show Horses, and Tennessee
Walkers are the most common Saddleseat breeds. Saddleseat pleasure
horses pick up their feet really high and have very long tails.
Saddlebreds were the original breed that saddleseat riding was
performed on. But a cutback saddle is longer than a huntseat
saddle, and it doesn't have knee rolls.