It is April 2nd, 2017, and I just switched from PC to PS4. I am experience noticeable lag on two wired keyboards (one low-end, one a high-end gaming specialty keyboard), and REALLY bad lag on the wireless keyboard (low end keyboard/mouse combo). Slight delay on the mouse clicks (different wireless mouse), but no delay on the mouse pointer that I can see. No sticking or skipping of keystrokes, it's just about a quarter second delay. Since I can't think of any situations where timed jumping is critical to game play, this probably won't be a game breaker. I might be a split second too late on those dang pots in Palace of the Dead to stop their flash attack, but for the most part, it's an annoyance I wouldn't expect to put up with, but I can live with it.
If it gets worse and the lag mimics the wireless control, or the pointer starts having lag, then that'll definitely affect game play. But for now, onto the Palace. Scripture tomes ain't gonna farm themselves...