Guys... I think I just found out the cause (with your hints by setting mouse/resolution...).
I remember, before I upgraded mine to Monterey my screen (Samsung C49HG9x) told me, Freesync 2 is not enabled by MacBook Pro 16 (2019). After I upgraded I was happy to see Freesync 2 was enabled. I think the variable refresh rate caused the flickering!
I changed the refresh rate to fixed value, the flickering was gone then. Any fixed refresh rate works (no matter, 144Hz or the lower one like 59,88Hz). I changed back to "variable (48-144)", the flicker issue was there again till I changed back to fixed refresh rate. So this issue is reproducible.
I dunno why accessibility settings would affect (as some of you reported), maybe it disables variable refresh rate (maybe because it's not good for visually impaired persons?). Just a guess of me.
Guys... try out this setting and give feedback, if it helps. And also tell, which display you're using, especially if it has freesync (and maybe g-sync?). Maybe it gives Apple devs some idea to find a fix.
Also I want to know if anyone from Apple is reading here... since I didn't see any post from Apple. :/ I think Apple needs to take care of this issue.
Best regards
Floh