I LIKE to manually select the initial AF area, with the 4-way controller. The AUTO-area AF I never did like. I like Nikon's 11-points of 51 on the D3x, and I like the D2x's 4-points of 11 Group Dynamic AF for action (it's an APS-C camera). For slow-paced shots, center-point only is very good with the pro-level Nikons I've used (D1,D1h,D2x,D3x).
AUTO-area is one thing; single point is another thing; group AF modes are a third thing. Your question misses a very useful way to do AF, which is manually selecting a GROUP of AF points,of a set number, that you have pre-determined to use!
Situational,and it depends on the camera and the AF module and the lens too. Nikon has 3-D color-aware metering and AF. If you ***know how*** to use the system, you'll find some situations where one of the group AF modes will easily out-perform a single AF point, such as following fast action that moves across the frame (long jump and pole vault, for two specific, real,actual examples) in really QUICK time frames, like 1 to 2 seconds, or birds in flight, etc.. Depends on the power of the AF module, and how many cross-type sensors you have as well. And the class of camera: Nikon's D2x had an amazing group dynamic AF with only 11 AF brackets but 9 which were cross-type,and it had multiple modes and four types of focusing,manually selectable; the D3-series got more-automated; the D4 series the same, the D5 and D500 series now have the world's best AF systems. AS Thom Hogan mentioned, it's not just the AF module: the CPU and bandwidth in the pro Nikon bodies is better,faster, than the consumer cameras have.
If you use some of the older AF or AF-D screw-drive lenses, those cannot do ANY predictive focusing, like AF-S lenses can!! They MUST drive focus and compare, constantly; using a group AF setup can help those older lenses quite a bit with action work. AF-S allows **predictive** focus drive from the first touch of the shutter, screw-drive lenss do not!
Some lenses have weaker AF motors, like the 300 f/4 AF-S: it does NOT do nearly as well with single-point AF on track and field or baseball as it does with a small, tight AF group. Same with the slow-poke 70-300 f/4.5~5.6 AF-S VR-G lens: it is a SLOW max-aperture zoom, with a so-so AF nature; it benefits from a group AF assignment.
The thing is this: AF is a personal decision AND a situational one. There is no,one single AF strategy that will always be the absolute best one. Crop-sensor cameras tend to have their AF squares covering a wider percentage of the total frame area than do FX sensor cameras, where the edges of the frame have less coverage.
Most people have a somewhat limited understanding of what their AF system can do, in its totality