To be more specific: he actually wrote "F6" on a piece of paper and put in the view of the camera before leaving.
It's actually worse than Sensei's Divining Top, as your opponent at least gets to do stuff in between your Top activations. With Eggs, once your opponent starts going, you just have to either concede or watch the table for 10 minutes. It's completely non-interactive.
If you ban Second Sunrise, you remove the 3cc recursion effect, and you force the deck to find one of four cards each time it recycles rather than one of eight. It goes back to being a fringe deck that can't put up consistent results, and the problem should go away.
It's a shame, actually, because the deck is cool. I like quirky combo decks, but decks that win by playing solitaire for 10-15 minutes are just bad for the game.