Yup. It's a saddle purposely for the show ring.
We don't really have 'huntseat' here and no saddleseat at all (always bugs me that it's termed an 'english' discipline...). Most people just ride their horses in a GP (general purpose) English saddle. If you do a lot of dressage you might invest in a dressage saddle. If you do a lot of showjumping/cross country you might invest in a jumping saddle (forward cut flaps, larger knee rolls). Most people stick with one GP saddle for everything unless they show a lot or are quite well off. The show saddle, for ridden showing classes (the one I posted pictures of was a M&M championship and had both a ridden and in-hand conformation section) has very flat saddle flaps with almost or completely NO knee rolls and is cut very far back away from the horse's shoulder. It's purpose is purely to show off the conformation of the horse as it moves and free up the shoulder, not to help the rider's position or confort - consequently they are quite difficult to ride in. You wouldn't ride in it outside a show except to get you and a horse used to it (or were crazy), and you usually only see them in quite high level showing classes.
There's also the working hunter saddle (hunter is a 'type' of horse in the UK, not a riding discipline, and classes are held in-hand, ridden or 'working', meaning over jumps and through gates and stuff. The working hunter saddle is like a compromised show saddle, still cut quite flat and straight, but given a little bit of cut and padding beneficial to the rider to help with jumps.
Sorry for babbling