My theory question about Minion vs Torturer is: where are the curses going to go? This game has no way to trash curses and no way to return them to the supply. If (at least) one player is running a Torturer chain, the curses will end up in somebody's deck. A Torturer chain is definitely fast enough to deliver them all before the game ends, too--if played properly.
Winning while having all 10 curses is going to be really hard, maybe impossible. So that argument says that adding Torturers should be necessary to win (barring the luck factor).
Here, the Torturer player definitely did not play optimally, even from the start, as Worker's Village/Loan is awful.