Luckily there's no requirement to justify a personal preference. I hate staring at LEDs/monitors without a warm filter even if it isn't hurting my eyes.
Most screens are too blue. Not in a personal preference sense, in an objective sense. That's why monitor profiling and color correction are important. Similar to you, I find it grating to use most screens for a long period of time, but I think the better solution to that problem is just to profile your screens.
For me it's ok to just set the color temperature to warm. But then I have to adjust all kinds of text highlighting color schemes which use pure blue for important text. These get too dim to read comfortably.
If you want to do it yourself, you'd get a colorimeter or spectrometer and then software that lets you use them to adjust your screen, like ArgyllCMS and DispcalGUI: https://displaycal.net/
The easiest way is to pay a professional. Hardware required to properly calibrate a display is too expensive to make any sense to buy it unless you don’t care about money.
You won’t get great results by downloading profiles from the internet because every unit is different coming out of factory.
Have you considered alternatively switching to a warmer colorscheme like Gruvbox in your main apps? That way only the UI elements are warm while your video and other important windows remain unafflicted.
It's not just displays since LED is so pervasive for all types of lighting these days. The tail lights on modern cars are the absolute worst offenders to me when I'm driving at night. Wearing my yellow-tinted glasses is the only way to make it bearable.