Gnomon,
I like your two suggestions for column labels.

"Intuitive, Mythical" vs. "Empirical, Rational" refer to epistemological methods, which may be the fundamental issues underlying the two columns.

"Subjective Metaphorical Personal Religion" vs. "Objective Abstract Mechanical Science" also refer to epistemological methods, though I'd drop "Mechanical" and replace it with "Public." Also, "Realistic" is an antonym of "Metaphorical". Thus,

"Subjective, Metaphorical, Personal Religion" vs. "Objective, Realistic, Public Science"

When (if) I add the table to my "Universal Theology" article, I'll probably use one (or maybe both). Thanks.

Intuitive, Mythical vs Empirical, Rational
Subjective, Metaphorical, Personal Religion vs Objective, Realist, Public Science

P.S. For anyone interested, current draft of article is at:
https://adamford.com/NTheo/NewTheology.epub
https://adamford.com/NTheo/NewTheology.pdf

I doubt there is really "pre-science".
Science is rather a spectrum from minimal to maximal scientific rigor. — Yohan

You took the words right out of my mouth mon ami!

There really was no pre-scientific epoch in human history unless science isn't really science.