I used flux for a long time and thought it was only relevant for sleep. I found myself using it more during the day as it hurt my eyes less and as a result I also got migraines and headaches less often. Could be a total coincidence or even still placebo, just sharing my anecdote.
I also started using redshift (linux equiv to flux) several years ago and gradually used it more, even during the day, as I also found it seemed to help mitigate migraines at least to some extent and it just generally reduced my eye fatigue.
I have a shortcut on my KDE desktop that runs this command:
/usr/bin/redshift -O 3500 -b 0.7
It instantly makes the screen easier to look at, no matter the lighting conditions. I also have a command to revert to normal color:
/usr/bin/redshift -O 6500 -b 1.0
Curiously, "redshift -O 2700 -b 0.7" is less comfortable than 3500K because it's too yellow. I think what bothers me about screens is heavy saturation in any color.