Here is what everyone is forgetting about the concept of dodging projectiles. In order to dodge any projectile, you don't necessarily have to be faster than the moving object. You simply have to be fast enough to move a small distance (i.e. a few inches), faster than the projectile can travel a much great distance (several dozen feet).
Just think back to playing dodge ball where any of us could out maneuver a fastly thrown ball, even though none of us were faster than said ball.
Now imagine that you are at the peak of physical human perfection, have years of combat experience, and have enhannced senses. I don't think it would be impossible to out maneuver bullets in this scenario, especially when a character is in motion and is using their combat knowledge to figure out where the bullets are going to go before they are fired. Sure, I have to admit that if any street levleler was shot at from close range square in the chest and couldn't move until the bullet was fired, then sure the character would definetely get tagged. However, when in motion and at a great enough distance I don't think that the concept of out maneuvering bullets (especially with the experience to tell you where they are going) is completely out of questions in the COMIC world.