"Time Patrol" and the TSVF interpretation of QM

I have a very simple idea, good at least for sci-fi novels. Currently there is a battle in the world between autocracies and Western democracies. According to MWI, some time later there will be two universes - in the first the dictators will finally win, in the second the democracies will win. But in the first universe, maybe in 22nd century, the humanity will die in a big nuclear war; and in more prosperous second universe, in far future (maybe 2500 AD), humanity will establish the Time Patrol. The Patrol will affect the past via Mermin-Peres game (quantum pseudo-telepathy), and it will reduce the amplitude of the state |Dictators_win>. For us this means, that the probability that people like Putin will win is almost zero (according to Born rule).
I have a question: would these speculations be the same, if we switch from MWI to TSVF interpretation?