Interesting observation!
I actually lower the brightness to about 10-20 % on each display I use (the default settings are ultra high for a sunny day in a fully lit store) and while I have two CCFL panels (a 1000 USD 24" from the past and a 1000 USD 30") blazing at me and both of them clearly use some sort of PWM - they start buzzing audibly below 80-90 % brightness (both in their audio outputs AND even with audio disabled it is heard from the monitor itself) - there never was any visible flicker. And in the CRT days, I saw flicker up to 85 Hz (including). Color wheel DLPs are also pure hell - the image breaks into three separate colors in each eye saccade. Yet, CCFL backlight, buzzing like crazy - and no visible flicker.
Enter my latest, fanciest, wide gamut screen with LED backlight - and on lower brightness, it flickers worse than a 60 Hz CRT...
However, luckily, it is not the case of each and every LED monitor - search for "flicker free" or "PWM free" - and it is not some fancy rare unicorn feature, a PWM free IPS display can cost the same or even less than flickering equivalents.