Yes. I breeze all my horses.
I think it is especially important for young horses in training to learn HOW to stretch out and run. Much easier to teach that in a wide open space, than an arena with fences.
My barrel horse LOVES to run. I only let him do it once or twice a week, and he is only allowed to take off when I say so. If he's going to get antsy about it, we don't run until he is listening completely to me first.
I have lots of dug-up farmland available to breeze in. Or else a "new" alfalfa field or hay field that hasn't had the time to sit there and fill up with mole holes. However, no area is 100% hole free. And I expect my horses to pay attention. Plus, I've raced across much worse ground chasing after a stray cow when moving cattle. I expect my horses to know where their feet are and get the job done no matter what the footing is. They race around the holes and rocks in the pasture at their own accord, so they can do the same with me on their back.
So far in 25 years of riding, I've never had a horse fall on account of hitting a hole while running. Had one slip on the grass once. Had one trip over her own feet once. And had one just plain fall to her knees on the gravel road for no reason. Yea, there's been trips and stumbles here and there. But never had one fall for hitting a hole while running. Not saying it can't happen, but I trust in my horses to carry me.
I am 100% PRO-breezing.
Plus, I think it's a blast. One of the best things about riding a horse.
∞•*˚ Βгįťţαňγ ˚*•∞
It is not enough to know how to ride; one must know how to fall.