With a high, undercut boot heel an oxbow stirrup provides some increased security when a horse bucks. A bronc saddle being a good example. I like the platform a flat, wide stirrup gives me, and certainly appreciate it when posting a trot or roping. The oxbow introduces a different mechanical dimension that I was never able to adapt to but my style is not everyone's. For example, I ride more on the ball of my foot that most people but that's what's most comfortable for me.