It is basic Geometry 101. Straight lines do not equate to equal distance. Thin DOF leaves little or no room for error.
A few keys in gryponslair99's brief post. "Geometry". "thin DOF". "Little or no" room for error.
Working backward, let's say we are close to our subject; that means the depth of field is MUCH more-limited than if we were say, five to 20 meters distant.
Let's say we have a 100mm lens, and the aperture value is f/3.2, for super-sharp optical performance and also for wonderfully soft background blurring.
The depth of field from
1) close-range and
2) long focal length lens and
3) wide aperture means that there is little to no room for error in placement of the focus.
Focus and recompose does not work very well in situations like that. But even #2 is not without a caveat; if you're at 10 feet and using a SHORT focal length lens, the edges of the frame are VERY MUCH FARTHER away than the center of the frame!!! it's actually very easy to envision the geometry...the wide-angle lens's field of view is wide, so you have a very much longer
diagonally-oriented line of sight out to the edges of the frame. At f/stops where the DOF is shallow, the margin of error EXCEEDS the depth of field...and blows the shot...
A telephoto lens, since it has a narrower angle of view, is actually an EASIER tool to use focus and recompose on than is say, a 35mm f/1.4 lens, buuuut....when the magnification is very high, even slight focusing errors become apparent at wider f/stops.
Where the problems start to creep in in my experience are when using fast lenses, like 50/1.4 or 85mm f/1.4, at close ranges, at wide apertures...there's just soooooo little room for error when the actual DOF band is like 1.5 to 2 inches deep...either you hit focus, or you miss it. For that reason, I usually prefer to shoot stopped down somewhat, to cover my proverbial ass. You see, the real world also has issues like focusing accuracy, subject movement, and so on. There's often a
compounding of issues principle at work in real shooting scenarios...I often want to give myself a little of what I call "DOF cushion", so I can come back with usable shots, not excuses. There are situations where focus and recompose will work, sure. LOTS of them! And there are also situations in which it will ***k you up.