Guerilla Games Director Steven Ter Heide posted a short video on his personal YouTube page showing Killzone: Shadow Fall using remote play. The person in the video is using the PS Vita to play the game, while we mainly see the footage from a flat screen TV on the wall.
While only 14 seconds long, we can see remote play in action and working as intended. Both screens seem to be in sync with no noticeable lag or stutters and is reacting to all the button presses on the Vita properly.
Killzone Shadow Fall is a PlayStation 4 launch exclusive and will be released on November 15th.