I use Tetenal kit and you are correct, the instructions I had in mind were for E6, my bad. I guess they thought that C41 material can be filtered during printing so there would be no need for color correction during development.

If you look at the color correction instructions for E6 (e.g. here), you see that they affect the CD bath which is also present in C41. Note that very different dyes are used for C41 so colors will be affected differently. The concept, that NaOH (i.e. higher pH) and H2SO4 (i.e. lower pH) affect color balance, can probably be extended to C41, though.