I disagree. I think you want to keep a small MOI because that allows you to control a tipping carton with the least amount of torque. At least that's how I've been justifying by method of taking from the outsides, in.

It's much harder to control a stick with weights in the ends, ESPECIALLY if the weights are unbalanced (which they will be unless you're only using even numbers of eggs. )

1. We should hang out at parties.
2. None of this matters in my real life because my wife is a chaos goblin who just grabs eggs from WHEREVER she pleases, almost like she's not even considering the mass moment of inertia at all!