If your comparing two different presents on two different units I don’t think it’s possible to conclude that one parameter works differently, since there could be countless reasons for it.
Just becasue a preset has the same name doesn’t mean it’s going to sound the same, the modeling is different on the III, the cab clock is different, etc
I found that darn near everything sounded “better” on the III, or at least different.
Stock presets like the Deluxe reverb, plexi 100 watt, etc sounded amazing on the III, and i never really was wowed with the stock on the II.
This was to be expected as it’s not the same old II preset so we don’t expect identical sound.