He's a cute guy.. It really depends on the individual horse, if he likes it and his mind and body can handle it..Why not? If you have a good trainer to help you and your horse I don't see a problems with it at all. I have two appendix mares who I run barrels with and they are awesome horses.
I have a 17 n half hh ottb n we do VERY well locally and are planing on going to state next year. Like they said it all depends on the horse not the breed.
Well I run a 18HH warmblood and he is amazing, don't let anybody tell you what is right or wrong. If you and your horse like doing it......DO IT.......