So, just to make sure anyone who reads this on the same page, what you are describing is not deadzone. Deadzone is the region in the center of the stick you must move beyond in order for movement to register in a given game.
This is a very different thing from exceeding the maximum look speed of a game, which is what the red lights indicate.
To answer your question, Apex still relies on a flashing red LED to indicate that you have exceeded the maximum look speed of a game.