I agree partially, but I also noticed on some projects that not everything looks better when absolutely centered. Sometimes something is centered but looks weird. You nudge it a bit off center and looks perfect.
That's mentioned briefly in the optical compensation bit - visual center is what looks like the center, mathematical center is just the middle of the bounding box. Triangles are the obvious example, but even more annoying is logos where you have the ® or ™ at the end, which have very little weight but are included in centering math on badly cropped logos.