Installing Lineage by itself will drastically reduce power consumption on many devices, as vendor bloat is wiped. A net gain is possible, even with ACC 80% in place.
With a Pixel, there is less bloat, so it is less of a factor with this particular device. However, you don't get the full suite of Chrome/Maps/Gmail/Drive/Photos/etc. installed by default, and what you have not installed will not drain your battery.
In any case, one would hope that Google's safeguards are equaled by ACC.