It is confusing me a bit, as it is of a type I have not seen before. It is a pretty flat seat, no rolls or pads. It is not cut back. The flaps come slightly forward of the pommel. I would call it an all-purpose, but the seat is too flat and it lacks standard rolls. I would call it a saddle seat but it is not actually a cutback.
I can't find anything on the manufacturer, so if anyone knows anything about K saddlery I would love to hear about it!