Hmm.
The Aeropress is beyond dispute the most flexible conventional brewing device around. It's a sport plane.
Personally, I generally use a pourover. It's a Cessna. It gets me where I want to go with no hassle.
The Aeropress, on the other hand, is a sport plane that taps your knowledge and experience, and demands that you make good use of it. You can do amazing things with it -- or utterly screw up (as I did at the first CoffeeCon, terribly under-extracting for sample consumption while I had the SCAA brewing chart projected on the wall).
There are particular, unusual use cases where nothing else could possibly produce what's wanted. Most of the time, I don't need that functionality. But when I do, I've found that I just can't do certain things with any other method.
The device is also good in times of doubt. If you're stuck using a weird grinder somewhere, for example, you can get yourself in trouble if a pourover stalls because the proportion of fines was unusually high. Not so with the Aero. You'll still suffer extraction issues from the inconsistency of the grind, but you won't have to worry about stalling a filter. In a sense, if you're in unfamiliar territory an Aeropress can be a shaman's bag of tricks, allowing adaptation on the fly.
Definitely a geek device.