Backwards compatibility on Xbox One is a great thing, but recently some titles available through the service has suffered from severe input lag and low frame rates. That is now fixed, however, with the new Xbox One update.
A fan asked Mike Ybarra about this through Twitter:
"@XboxQwik Did you guys improve the Vsync applied to back compat games recently? There's less input lag and aiming feels more responsive now."
Ybarra quickly responded:
"Yes, we fixed a few bugs and the latest update addressed those."