IF... you have been able to accurately describe the different bead alignments and they remain when you actually fire the gun, the small change in bead alignments would not explain the difference in the way targets break, assuming the results are consistent. Something else is happening.
The possibilities include an increase in concentration, a change in your swing, i.e. swing speed or accuracy and even the possiblity of head movement on the stock during swings, most likely raising the head when using greater cheek pressure.
The change in the vertical POI with the change in cheek presssure and the resulting different bead alignments, would result in a POI change of less than an inch. Whatever is causing a change in the way targets break, moving the comb is probably not likely to help.
If you want to try adjusting the comb, I would suggest lowering it 1/8 inch to see what happens. Lowering the comb would have the same effect as using greater pressure of your cheek on the comb without requiring the increase in pressure, which isn't likely to remain throughout the swing, anyway.
Rollin