That's the thing. I'm finding that I shoot my first shots faster regardless of the height of the sights if I bring the gun up to engage with the muzzle slightly high so I have the front sight clearly visible. As the front sight comes up on the target I continue to raise the gun while pivoting my wrists to keep the front on level and centered as the rear notch comes up into line of view and adjusts to "cradle" the front blade. During this the trigger is pulling back so the final part of the stroke occurs just as the target, blade and notch all come into alignment.
BC, your description of your aiming technique is exactly why the express sights (Big Dots) were developed and are popular with people who understand them. That big dot just seems to find the center of mass, chest, silhouette, etc., almost on its own. bringing the shallow "V" rear sight up is faster for some than a notch, in part because of the white line used for alignment under the dot.
As for small sights being accurate, no reason why they wouldn't be if you have good enough eye sight and they time to align them. High visibility pistol sights were introduced/promoted when practical pistol shooting (combat shooting for us older geezers) started being studied and improved upon.
Dave