I frankly didn't read the whole linked article, but do the writers, by any chance, do the writing in the morning, but not editing? Because personally, I regularly have a sorta-confused rush of ideas and notions early after sleep, that subsides after a couple hours―after which I may find the morning ideas stupid, or sometimes discover a gem among them, but almost always I find that calm logic of the day doesn't produce such wild reaches. It's pretty much how creativity on drugs is usually imagined. I would also guess that if I have a solid sleep and then a sharp cutoff instead of lingering in bed, the effect is more pronounced―and this behavior is more of a larkish thing, I think.
Meanwhile, I can't code in that state until I wear it off with articles from HN and such stuff. But I can code when I should've been in bed many hours ago and may keel over at any minute.
(BTW, dunno if it's just me, but: I don't ever remember dreams from the deep phase, however I have vivid and lucid dreams if I briefly wake up and then drift off again, i.e. after an optimistic alarm. Notably, if I'm imagining music in this state, it's best stuff I've heard, way off usual patterns and genre clichés, and it comes effortlessly, while in the day I have trouble coming up with anything like that.)