Does filter offset change with different reducer/flatteners?

I’ve done a bunch of testing and have pretty accurately calculated my filter offsets with a 0.8x FR/FF. However, I also have a straight FF (no Focal Reduction) that I would like to use to get a smaller FOV/image scale on some objects. Should my filter offsets remain the same when I change to the 1x FF from the 0.8x FR/FF?

I would assume they’d change with different focal lengths as that will also change your CFZ and the light path. Will it be significant? I’m not sure.