All of you are saying "running it once or more times doesn't change the outcome in the long run"
That isn't true - sometimes it changes outcome a lot. For example you hold AA v QQ flop all on T56r in and decide to run it more than once. That's very good for you, because with every run your opponent should have exactly two outs when running once. If you run multiple times and lets say opponent binks two queens in first run, he now is drawing dead for all of the next runs instead of having 2 outs.
So if you are the one with a made hand and your opponent drawing to X outs, you should run it as many times as possible, but if you are drawing, you should run it only once.
Every run has the possibility to decrease drawing player's chances.