There's a good video of Pepin making eggs cocotte in little narrow pots instead of wider ramekins, and it's just a pleasure to watch, but I can't find it at the moment.
However, I did find another one, and he's showing another cook how to make them, and he puts the ramekins in the water bath and says, "Three...four minutes and they are done," then spoons one out and you can see the white underneath is still completely clear, but he eats it right up.
He then tells the other chef to try one and it's pretty obvious from her expression that she's not too hep to it.
I'm a huge Pepin devotee, and one thing I've learned over the years, there's nothing that man won't eat. Doesn't matter the ingredient, and it can be raw or burnt, he doesn't care. It's all good to him.
Oh, and I found a recipe for his soft-cooked egg gratin dish...that'll likely make an appearance here this month.