Yea, I've heard and noticed that as well (thought about adding a note about it to my original comment). But what I'm curious about is the timing. What I suspect is that peripherals are more sensitive to motion, but still lag slightly behind the center of focus. I'm not sure if it's dependent on how actively you are trying to focus. I'd love to learn more about this, but I didn't find anything when I looked online a bit.
I can see the spinning color wheels inside cheaper projectors as rapidly-changing rainbow lights leaking out of their ventilation grilles, but only with peripheral vision and mostly only if I'm moving my head at the same time.
I don't know if it's faster, but it's a non-trivial part of the experience.