Well, I was user Combustion for long old years; actually I use Fusion how main compositing package, and the CC tools between this both packages are very similar to use, and in the my particular migration to Fusion was very easy adaptation.
I trying use Nuke for some works, and the way of use Nuke CC tools have more difference for me or my habits.
Simply I feel more easy of use tinting method for color correction, and controlling master/shadows/mid/hightlighs for all rgb channels, or for red or green or blue independently at same time, in a one operator.
But well, only are different workflows to obtain the same result.
However the ColorCorrect Nuke operator have a Master/Shadows/Midtones/Highlights sections with gamma/gain control in each section.
Is confused for me, that you said about Lift/Gamma/Gain equal Shadow/Midtones/Highlings, because I understand that Lift/Gamma/Gain is a amount control and Shadow/Midtones/Highlings are ranges of that pixels are darks, that pixels are lights…