That's not it.
The major difference between mouse-control and stick-control is the way you give movement-input.
When you move the mouse into one direction, your crosshair will move into the same direction. Depending on how far you move your mouse, the crosshair moves equally far.
Now when you want to move with the stick, you move it into one direction and your crosshair will keep moving while the stick is hold down.
The stick does not allow you (read: It. Does. Not. Allow.) to move at an accurate range, but just very vaguely.
And no matter how hard you train, you can't translate the accuracy of a mouse to the stick.
Yeah, in other words, precision. like I mentioned.
The turning speed varies from game to game.
I've had console games where I could look around much faster than I could on a PC game.
Of course it depends on the game, but if you're talking about the same game on console and PC, the PC's gonna let you turn faster unless the sensitivity is cranked way down. Unless turning is on the keys instead of the mouse, then it's pretty much a push I guess.