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I am not sure I agree with the two types of research you have described. I think the two types of research are empirical and theoretical. Empirical researchers use data to test theories and find out what the data says. Theoretical work (which I would say is more difficult in general) develops theories to help explain what might be going on and tends to demand stronger analytical skills.
As far as I am aware most people work in these areas (those who would publish in practitioner oriented journals would likely be empirical). The difference in research requirements by schools will likely come down to what tier of journal they expect. Publishing in the JAE is much more difficult than some lower ranked journals.
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