I'm checking that I have understood this right. Factor scores must be achieved via oblique rotation, because factor scores must be allowed to correlate with each other. There's no point in multiple regression, if independent variables don't correlate with each other at all? In that case separate regression models (IV 1 vs. DV, IV 2 vs. DV,
IV 3 vs. DV...) would produce same results (Beta coefficients) as multiple regression (IV1, IV2 and IV3 vs. DV)