No, that's not what Jim is suggesting. It is the different shape of the shutter blades and the aperture blades that are expected to change the character of the bokeh, depending on exposure time.
What Bart said. In a apodized lens, the center rays are less attenuated than the peripheral ones, giving, effectively, a feathered edge to the aperture. In a leaf-shutter lens, the center rays hit the sensor for a greater length of time than the peripheral ones. At some shutter speed and aperture, the effect might be similar.
By the way, on the Sony a7RII, the bokeh of the mechanical and EFCS shutters are slightly different at some apertures and shutter speeds because the shadow of the mechanical shutter is somewhat diffuse because it lies in a different plane than the sensor surface.