@shinnen You may get a little more insight if you look at my Landscape Bracketing Script.
As
@waterwingz says, the hyperfocal is the hyperfocal. That is, once you have selected an aperture etc, the hyperfocal doesn’t change with focus.
What does change with focus is the defocus blur at infinity.
At the hyperfocal, this is the defined circle of confusion. At, say, 3 times the hyperfocal distance the infinity blur will be a third of that at the hyperfocal. Of course, when focused at infinity, the infinity defocus blur is ‘zero’. But note, the overall blur is not zero, ie you always have diffraction blur, which you can estimate from 4N/3, where N is the aperture number. Thus if focused at infinity and, say, at f/9, the blur would be about 12 microns.