Since I believe the phrase, "All Power Attack, All The Time" is my own (see Heroes of High Favor: Half-Orcs) I feel qualified to opine.
Yet so many other people here already "get it" there's not much left to say.
Min/maxing is a curse, you have to let it go. If you extrapolate that premise to its infinite (absurd) conclusion, there’s only one “maximum” character concept you, or anyone, can play—and what fun would that be?
All power attack, all the time is about FUN. It's the fun of missing, missing, missing, your companions are begging you to give in, to HIT something for a change, missing, missing, and then WHAM! You're a hero.
You want a quick analogy?
It's about swinging for the fence even though a sacrifice bunt is the "best" thing to do.
Swing away, man. Swing away.
Wulf