Giving the player control over the "camera" was a big deal, especially for games with a 3D engine. And it ain't that important if that additional input to the movement of the character is done via digital or analog sticks, d-pad buttons, c-buttons, keys, mouse movements or touch gestures.
Neither Nintendo nor Sony were using this "free look" first... it had been done years before that on PC, Mac and even a few arcade machines: https://en.wikipedia.org/wiki/Free_look
Gun Buster (only left + right), Ultima Underworld, System Shock, Doom (only left + right), Dark Forces, Heretic, Marathon...









