Wilt's chart is cool, and illustrates well the biggest issue with recomposing, which is that the angular change of the camera of course tilts the focal plane. It's possible to focus on the subject's eye with your camera level, then tilt the camera when recomposing such that the plane of focus (which is parallel to the plane of the sensor) now passes through the back of the subject's head and in front of their feet. Recompose is always going to tilt the focal plane, but whether or not it results in a focus miss depends on the severity of the recompose, and the depth of field (as determined by aperture, subject to camera distance, etc.), which is what that chart is putting theoretical (ideal) numbers to.
Dan's advice of not needing to recompose is true for some cameras. When I shoot with the 5DSR, I use the cross-type point nearest my subject's eye and minimize recomposing. However, with the 6D, I get significantly higher keeper rates if I use the center point and recompose, even stopped down to f/5.6-f/11. This is undoubtedly partly due to the 6D's outer points not being as precise or sensitive as the center point. Just how well the outer AF points also depends on things like the lighting, contrast of the subject, and characteristics of the lens. I've found that both the 85L and 50 STM get very high focus miss rates when using the 6D's outer points. I have theorized, but not scientifically tested, the possibility that the results are especially bad with these lenses because they are soft at the edges wide open. The camera focuses with the lens wide open, of course, and the outermost AF sensors are effectively "looking" through a part of the lens where things are not sharply resolved. I can't help but think that this must affect the ability to achieve critical focus with the outer points at least a little bit.