I think use of equations is fine as long as you don't put more weight in to them than words. Ultimately, as I said, it's all very speculative. Equations represent model thinking, not association-based reasoning or reasoning by analogy. I tend to think that model thinking is typically more useful than the other two, but yes, if you're the sort of person who says "if it's an equation, it must be right" then you shouldn't do that here.

Even naive dimensional analysis is enough to show that these equations don't mean anything.

Go on...