This place where I live feeds a lot of people every day. One breakfast option is to go through a free bar for coffee, bagels, muffins, oatmeal, or scrambled eggs. I say to the guy in charge of breakfast production, You must spend a lot of time breaking eggs every day. No, I'm told, egg breaking time is a matter of a few minutes. There's this big blender that liquefies a couple dozen eggs, shells and all, after which they strain out the shells and bring the heat.
I'll bet you didn't know that. I'm sticking with poached.