It seems to me the former must include some of the latter, though at the level of epistemology (and likely views of perception, object subject relations, realism). IOW intuited axioms not simply about methodology but about why that methodology and not others, so ontology. I don’t see anyone as either fully rationalistic or fully empiricist. Also it seems like you are focusing on a portion of scientific thinking, that having to do with models. One could work primarily rationalistically to come up with models, ontology, then only give them up or modify/adjust them when empirical contradictions arise. IOW not like the scientists, who in the ideal only accept things that seem very probable - are more enamoured of putting Occam’s Razor up front. What I am saying here is that mainly Rationalist person could mix in some empirical checks, but have an innocent until proven guilty heuristic regarding what is come upon intuitively. (something most of us do regardless of system. We don’t clean house completely at 18 and move forward listeing to God inwardly or learning through empirical research only. We work with the mixed batch of ideas and beliefs we have at that point we begin trying to be consistent.) The Rationalist need not conclude that their models are absolute. Even they could have revision, but the source of their ideas is different. I see R vs. E as a methodological dispute rather than the dispute between approximation and fixed. Rationalists change their minds, sometimes and can remain primarily rationalists.
I suppose I was also bring up the idea that we base a lot of our beliefs on authority, E people and R people. both groups use intuition about which experts to believe and how provisionally, how much doubt they must have to begin questioning and how they go about that, when they decide they are satisfied that the experts in question should continue to be believed, how much a relevent idea of set of data could possibly be marginalized, if there might be paradigmatic reasons why a phenomenon was considered impossible and so on.
The science vs Rationalist/religious, makes it seem like third parties are not involved. But the individual waking up today or waking up at 20 and wondering if what they believe is right or fairly approximately right, is coming from ideas of experts, likely to consider methodologies for investigating because of authorities already accepted, and if challenging going to utilize other authorities at least in part to challenge the first ones.
They will not be tabula rasa thinking scientifically or tabula rasa thinking rationalistically and without using some received ideas moving forward.