I just watched a yt moron (with a larger followership) who seriously claimed, that a speedbooster would also give an m43 sensor a FF bokeh (shallow dof).

But this must be bullshit as the dof is related to the circle of confusion and not to the inheriting lens. Right?

So, a speedbooster reduces focal length, increases lightness but does not in- or decrease the depth of field in comparsion to a lens with equivalent field of view and aperture on the same sensor but without focal reducer. Am I correct?