Color Balance RGB vs RGB Curves

No. Not at all. As I said, Color Balance RGB has nothing to do with curves. 4 ways is exactly the same as lift/gamma/gain/offset or slope/offset/power, with basically only the specific math being a little different. This should be covered in detail in the first of those two books. It’s also explained in the manual.

This grey ramp can help you to visualize what is happening:

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