I agree with the first and third bullet points, but could you please elaborate on what you mean by the second one?
Just that we shouldn't call it "uber-better-than-everyone-else-ism" or the "FindTheRightAnswer™ method" or, you know, something silly like that. (Though what I actually had in mind when I wrote that bullet point was Francis Bacon's "idols of the marketplace" and the like.)
You see, I've seen the word "rationalism" used to mean all five of these things at different times:
Edited to reinstate that proposed solution, since this discussion is presumably finished.