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Hahahaaa, this happens to me too, though I haven't thought about it this way.
I don't think I fall under any of the four types of writers you mentioned, since I'm a work from home mom.
But when I have a good night and manage to wake up at a decent hour, before my son, I write a decent amount with the hunger blowing on my neck.
And if I'm really lucky, once I fill my belly, I may write a bit more, taking advance of the energy boost that I typically associate with being well fed :D