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;
    }

... and that gets scores between 500 and 3000.

(Edit) Histogram of 500 runs:

  0k: ***
  1k: *******************
  2k: ****************
  3k: *********
  4k: *
  5k: *
  6k: *