That's a good point; however, there could be some elections in which the balance of opinion is different between TDT thinkers and others. (In which case, of course, they would optimize in order to have the same aggregate effect as otherwise, while allowing some TDT agents to forgo voting.)

Exactly. And in the extreme case only one person would attend the poll booth (from the team that were going to win anyway) and everyone else would stay home.