The plasma transport processes by which externally applied resonant magnetic field perturbations (RMPs) mitigate or suppress edge-localized modes (ELMs) in low-collisionality tokamak H-mode plasmas are explored. Experimental data from DIII-D indicates the dominant RMP-induced transport occurs at the pedestal top where electron temperature gradient scale lengths increase up to 3 times more than density gradient scale lengths. The increases scale approximately with the square of the strength of the RMPs. Since flow screening is predicted to inhibit magnetic island formation and magnetic stochasticity, a plasma transport model that does not depend on stochasticity is apparently needed. Thus, a basic magnetic-flutter-based cylindrical screw-pinch model theory of plasma transport is developed. A key attribute of this new model is that while RMP-induced radial magnetic perturbations can be significantly reduced on rational surfaces by flow screening, they induce spatial magnetic flutter away from them and thereby can cause substantial radial plasma transport. The plasma transport predictions of this spatial flutter model are compared with the DIII-D transport data.