i have lagg issues, i have found some of delay/lagg issues are caused by the client graphics.
VERY VERY HARD to explain but its not hardware graphics lagg its the clients software causing it & its to do with the resolution & also found if you turn off the decrease in frame rate option, it also helps suprisingly well in other areas of the game.
As for high vs medium graphics no difference.
as for monitor stock LED (has monitor lagg), ADV setting (no monitor lagg), ADV 1 setting, (no lagg).
Using Battleping also decreased the internet lagg & ping, Although going from 360ms to 160ms is good BUT IF YOU COMPARE TO TERA (MMO) which has 400ms-600ms (closer to 600ms ping Average) the lagg is a second in game YES Literally a second. GW2 (MMO) is also around the 400 ping mark & bearly noticeable Lagg.
Final Fantasy XIV ARR on the other hand: 360ms/160ms doesnt matter the lagg is anywhere from 3 to 7 seconds & anything 5 seconds or over cancels the moves you input.

I Hope they fix all the Lag Issue & comment on it soon, Because Titan is unbeatable almost solely due to it!