We could probably spend a long time splitting hairs over the details about the different variations on religious belief in Medieval Europe. The article does bring in some interesting points, but still has some divine phenomenon (God) in its place as core of all its beliefs. Maybe I should have stated my earlier argument better. A religion can continue to exist as a religion even if it does not incorporate reason at all. I don't know any real world examples I can think of immediately, but something that says "This is what was written, now believe it" would count as such a religion. (Actually, I am aware that some might point out that even that has a very basic line of logic. The qualifier for belief is "This is what was written", therefore, "Believe it". I suppose if we were really to get technical about it, an example would be a bunch of stuff written down, and without even the reason that it is what is written, the religion simply demands that you believe it...because it's true, which in itself then becomes an element of reason. I will just stop this line here and say that I am not so much concerned about the very fine details of what extent of reason we are talking about, and just say that I hope you get my point. Religion doesn't need to have a bunch of conclusions from observations or intuition in order to count as a religion.) Also, the simple act of exercising reason, whether it be by some form of logic, or some other means, is not alone enough to count something as a religion. What exactly constitutes a religion then? That's an interesting topic, no doubt, and I'm sure there are more pages with many words on the subject.
If we read MP as saying that it recognizes the existence of inhuman entities, but later says: "No faith should be put in anything non-human, and we must fight for our own place in the world.", then this makes it a truly odd religion. That single sentence can be up for a lot of dispute about just what it means, in fact. Is it saying not to worship inhuman things? So would faith in other humans work? Ancestor worship? Idolatry in human arts?