As long as those feet are nice and healthy than you're fine
My standardbred is going shoeless and is jumping just fine and trail riding on occasion. And he's a big boy 16.3 and his feet are extremely healthy, best in the barn =D
I agree with what all have said, but I may be a bit biased. I feel that unless a horse NEEDS shoes or if they're being ridden on the road, they should be barefoot. My mini reasons for that is when a horse steps, everything is absorbed and felt by their frog. That's what keeps their blood flowing through their legs. When you put a shoe on a horse, the frog doesn't touch the ground. The result - the horse's legs feel like pins and needles all the time, like when your leg is asleep.
That's just my little spiel, haha. I'm just a firm believer in doing most things with horses the 'natural' way, but as I said above, if a horse needs to be shod, they should be all means be in order to keep their hooves and legs healthy.
Typically, we shoe horses for three basic reasons:
To protect the hoof (e.g., when wear exceeds growth)
To influence traction (by providing it or by taking it away)
To alter or enhance gait/flight
If you can't justify shoeing for one of these three reasons, your horse should likely go bare. I have a number of jumpers in my practice that are unshod, but they're typically not in the group that's campaigning and showing on a serious level.