Will orthogonal relationships show up when using Oblique rotation?
Based on the articles I have read on EFA rotation my understanding is that although oblique rotation procedures might be expected to be superior to orthogonal rotation procedures on theoretical grounds, that superiority has yet to be demonstrated empirically.
Bandalos, D. L., & Boehm-Kaufman, M. R. (2009). Four common misconceptions in exploratory factor analysis. In C. E. Lance, & R. J. Vandenberg (Eds.), Statistical and methodological myths and legends: Doctrine, verity and fable in the organizational and social sciences (pp. 61-88). New York, NY: Routledge.
Tinsley, H. E., & Tinsley, D. J. (1987). Uses of factor analysis in counseling psychology research. Journal of Counseling Psychology, 34(4), 414-424.