How do med schools view premeds taken at colleges other than one's undergrad institution?

Ask the appropriate office at the university about their requirements for the committee recommendation letter. No one know the policies of a hypothetical unnamed school whether a State U or T20 school.

On another note, if one’s school transcript does not show any premed pre-requisite course grades to compare with other students of the same school, what conclusion can one draw about competitiveness of the candidate compared to other students of the same school.