I’m sure there are some presets that re-equalize better than others, but in general terms, increasing the "power" gives you more spectral consistency cut-to-cut.
I would venture a guess that behind the scenes, thresholds and ratios are being adjusted to make this happen, but I don’t have any concrete knowledge to back up that supposition.
It is evident, however, by observing the way the amount of available gain reduction increases as you increase power that the compressors will ride gain over a wider range, allowing for more spectral consistency.
Anyone with greater access/familiarity to how the core works care to confirm that theory or take me to task on the guesswork? 🙂
Jim