I am sensitive to PWM, but not CRT's (I have an old Sony CRT I use to play retro games). The reason is that CRT's do not turn the entire screen on/off like PWM does, they draw scanlines. This isn't nearly as bad as what PWM does. It's the on/off of the entire screen rapidly that is the issue.

In fact there is research being done in the retro gaming scene of using CRT-like scanline drawing to mimic what CRT's do for modern displays. This allows "blackframe like" insertion without the flicker. Only issue is you need a very high refresh rate display to take advantage of it and there aren't many of those.