While this question would have applicability to a real world encounter against multiple assailants, I'm shooting iron sights in Steel Challenge and having some difficulty with easy-to-medium difficulty targets following a rapid, small-angle transitions.
I've always tried getting my eyes ahead of the gun and my grip mechanics generally preserve the sight picture over longer transitions. These short transitions can result in a degraded sight picture on arrival at the target possibly due to my hips not keeping up with my upper body. Eyes on target, sights slightly misaligned, gun goes bang, miss results. I'm finding on these sorts of transitions that tracking the sights onto the target, preserving the "loop" that preserves sight alignment, finds me able to break a successful shot almost 100% of the time.
Steel Challenge stages are set pieces. I know where the target is and can see it in my low resolution peripheral vision. Does this approach make sense? I have good vision albeit my dominant eye glasses are set to 1 meter focus, a compromise following cataract surgery.
My simple view - for these almost snap-shoot targets the loop that preserves sight alignment is more important than the loop managing arrival on the target. On long transitions muscle memory doesn't seem to play all that much of a role with managing a control arrival on target more important to a degree than sight alignment (you can manage that during deceleration on target).