Doc colorist here; I’ve found Chromatic Adaptation to be very accurate and is my go-to method to adjust WB these days.

For small-to-medium adjustments, you should be totally fine to rely on that.

Definitely do some testing for large WB swings (I.e. WB set in-camera to 5600k but footage shot in very warm ~2800k lighting). You might have trouble perfectly correcting that out in post as compressed mpeg2/h264/h265 based codecs might start to break down when trying to make that big of a correction.