Well, I wasn't really thinking about reducing complaints. The people who complain about luck are playing the wrong game.
Rather it's just a device to dampen the large effect luck has in the *begininng* of the game. Assuming you don't make a large strategic gaffe later on, 20 or 30 good rolls right at the start will practically hand the game to you. The opposite is true, too. If your first 15 rolls average 2, odds are you go 3 turns without getting a card, and it doesn't matter if you're Napoleon or Custer--you're done.
Later in the game a string of good/bad luck is less dispositive of the outcome. I just thought it would be of value to limit the number of times luck ends a game before it even starts.