The color calibration method will give you lits of flexability. It just sets the module sliders to specific values. You can continue to tweak those values and any other sliders in the module until you’re content.
The LUT is less flexible, you apply it, and that is more or less it. The LUT looks the way it looks.
If you’re obtaining results you’re happy with from a specific module order then keep doing it. The other modules you mention work in LAB space and are prone to artifacts if you push them too hard.