Tried 3 games, and the scores were 2700, 1200, 5000. So maybe. But then I wrote a function to play it for me:
var manager = new GameManager(4, KeyboardInputManager, HTMLActuator);
function play() {
manager.restart();
var m = 0;
while (!manager.over) {
manager.move(m);
m = (m+1)%4;
}
return manager.score;
}
(Edit) Histogram of 500 runs: