Actually, that's not how our eyes work at all. In fact, the "reverse blinking" you describe is much closer to the truth. The retina has a very small region of high acuity that darts around your visual field, essentially taking snapshots that your brain stitches together. A lot of what we perceive as movement is actually our brains predicting trajectories.
No, a lot of what we perceive as movement is our eyes seeing movement. Motion is perceived across the whole of our field of vision, not just by the fovea (the "very small region of high acuity" you mentioned). Try not to spread misinformation.