Now riding and looking around has become much more pleasant.
The camera seems to be drawn to the center when you look around, this is especially noticeable when cantering (sprinting on a horse). It's also a little awkward to control the camera with the mouse, because the camera zooms in on the horse every time you move it, and then zooms out when you stop moving the mouse. The only way to disable this is to pull out the gun or install this mod.