During your turn, if you have nothing able to be cast, it auto passes into the next phase. However, with the Food Chain + Squee combo, you have to have full control in these scenarios.

The scenario came up when I had just a Squee in play with Food Chain, and a Muxus in hand. I attack with Squee first so I can bait them to animate their man land. Then I play the Muxus, play out another goblin from hand, and I have a lethal loop: A goblin that deals damage whenever a creature ETBs. So I am looping Squee, play my last goblin from hand, and then it auto passes to their turn.

However, I literally had lethal with Squee looping himself with Food Chain, but since I couldn't activate anything other than mana abilities, and I had nothing to cast, the game thought I was done and immediately passed through things.

Food Chain should definitely work differently since this is how the main combo functions. Hopefully I made this as clear as I could. I don't think we should need to use full control for a situation like this.