They are also a fine choice for endurance. I don't know about jumping. I don't jump. I know nothing about what is needed. I know they DO jump. I have seen them jump successfully, I just don't know how "good" they are for it. They look "good" to me, but again, I know nothing.
As for endurance, the current second place mileage record holder for competitive trail rides(who was first until a couple of years ago) was a Saddlebred by the name of Wing Tempo. He was beaten by a half arab named Elmer Bandit. They have all the heart in the world and will give everything to a job if you let them. You have to be selective, and find the right one for the job, but it is not that hard if you have help looking.
God, I wish I could figure my colt out and get him fit for endurance. He would love being outside and running. He could run all day and not break a sweat. He just gets in his own way and gets mad, so training him has been an event.