Is that possible that being a tiff file (perhaps jpg too) one can just control blue-yellow color temperature but not the green-magenta tint?
Yes true, it’s missing the red - green - control in white balance, while old LR (+ PS) can do.
– For now, you have to use the HSL tool.
I don’t understand how HSL tool can be used to correct a colour cast… I have tried but the result is quite different
Try the Tone Curves, you might get better results than with HSL.
If you have the Nik collection - try Color Efex - works very well with color casts.
@vichenso – (also) think of complementary colour correction
True. But I find it easier with Color Efex, there is a specific filter for that called “Remove color cast” and in “Pro contrast” there is also a “remove color cast” slider.
I take a lot of underwater photos and use the tone curve tool extensively to fix colour casts and it works really well. @vichenso you can send me a personal message if you want some more detail.