So for your second experiment, you set up different conditions from your first by arbitrarily eliminating anyone who's disproportionately unlucky, then compare it to the first, and say "Aha! It's different!"
Of course it's different. All you've done is arbitrarily chosen a subset of your data that proves your point, while arbitrarily eliminating the subset that disproves your point. And all you've proven is that you're a !@#$ing retard: you can't arbitrarily discard data just because it's inconvenient!!! Particularly in this case: you're discarding error in the negative direction (i.e. "unlucky"), to prove that positive error (i.e. "lucky") is, in fact positive. Which is not regression toward the mean, it's !@#$ing error!!!!
How you honestly believe you know what you're talking about is beyond comprehension. Literally, I know three year olds that have a better understanding of this than you do.