Most of the more technical fighting games are still best played with an arcade style digital joystick. They're still the preferred controller for tournaments. Tekken, with its "typewriter" combos is best played with the right fingers rather than the right thumb.
But the point would be, optimal input device varies from game to game even as much as it typically does between genre to genre.
I still have a hard time imagining using anything but a mouse and keyboard for any RTS, as much as I loathe the genre.
For FPS, it would be tough to find anyone who could aim better with an analog stick than a mouse, particularly since the mouse is specifically designed as a pointing device, whereas the stick was designed for constant movement.
Because of its precision, the mouse is used as a movement orienting aid (to alter the cardinal directions of WASD).
By the same token, a pair of analog sticks typically have to be used in tandem in order to properly aim quickly without having to resort to imprecise tapping of the right stick. The left stick used for character movement, is used as an aim orienting aid for better precision. Compound movement; requires adaptation to function properly.
But still not nearly as easy to aim with as a mouse







