The draws and pauses should work like they did in the old version. Sometimes someone would have an idea that he would need to pause later, and when he let us know, we could all vote for the pause except for him. Then, a few days later, when he found out when he needed to pause, he could be the last one to vote, making it go through.
Being able to vote over several phases is very useful, not only for pauses but also for draws. For example, in a paused live game, if people are having scheduling problems, players can enter their votes for a draw, and when everyone else has a chance to come back, the final person can vote for the draw and the unpause, completing everything.
Not sure why the feature was changed... it's simply less usable now.