There are several issues affecting controller response; 30 fps graphics draw is the least of them. A lot of games sample input at 60 fps (or at least used to) and update the game accordingly, with just the redraw slowing things down. There's delay from the controller and rendering and display up to (and beyond) 100 ms. Another 17 ms from 1/30th of a second more on screen than 1/60th is hardly going to make the difference between responsive and sluggish controls.
So I think you're both looking in the wrong place to fix the issue you have with games, and even if not, display panes aren't going to solve it anyway.