It's the little green circular thingy located at the bottom left corner of the screen during battles..it indicates your remaining time to make a move or else you'll time-out..it's very beneficial..it puts pressure to both sides..and it helps you see how much time you have left..it can also tell whether your opponent can think well with a timer or blunder when there's time pressure..so it's fun..
We are not gonna remove something really useful to the vast majority of fair play players just to avoid a few unfair ones.
And if you think about it:
before: they did timeout anyway
now: they will timeout anyway
You see, the annoyance is not bigger...