Well, yes, I explained myself horribly.
What I meant is that most people are way more sensitive to graphics than anything else. A lot of people will never play a game that is ugly but don't seem to mind laggy inputs.
There are a lot of games that, even without "real" input lag, have tons of animation dampening/inertia to the point that it makes them IMHO unresponsive, just to improve the "cinematic feel" and avoid characters instantly changing direction.
If you prefer responsiveness to having the player character spin be perfectly smooth, well, sucks to be you, because prettier games sell better.
Obviously this doesn't apply to fighting games or competitive shooters or anything like that where responsiveness is the point of the game.