This would be correct if the shift could be dealt with with a single correction.If you say so.
Placing such stringent expectations on color consistency means a) you’re a major lab, or b) you don’t believe in color correction filters / photoshop for printing. Even then, I’ve never seen issues with inconsistent color shifts at different temps. Repeatability of process ie consistency from session to session is far more important for your personal workflow.
My opinion, of course. But I’m pretty comfortable with C-41 developing so there’s that
Unfortunately colour film is made up of (at least) three different colour sensitive emulsion components, and they each respond differently to the temperature change. The result is colour crossover - e.g. shadows shift to magenta while highlights shift to green - which one cannot compensate for with a simple change of filtration or a change of hue using a slider.
You don't want brides with green dresses and grooms with purple tuxedos - unless you are still in the 1970s of course!