I think a lot about how 3D Ninja Gaiden steadfastly refused to introduced a sprint button, even after Itagaki left. The fastest way to get around was always to dodge-jump in a steady rhythm, even in NG3 RE. No sprint button, Ryu's regular run is extremely slow.
I think with like, 6 out of 10 cases, replacing sprint with button to spin your gun or something would have the exact same effect on the players brain