This problem was already discussed several months ago. Although draw is really impossible in some games, the button will stay for all games because there can be more reasons to agree with a draw [for example, one player knows that he would lose due to a timeout and his opponents agrees with a draw to solve this situation by making both players happy].
(hide) If you are waiting for your turn, click on "change" next to the "refresh" on the main page, then set refresh the page to 30 seconds to get your turn to move displayed faster. (Servant) (show all tips)