I'm similar to this. Things like OLED iPhones, modern OLED Android phones, certain monitors (not just OLED) give me symptoms immediately within seconds. Weird and uncomfortable sensation behind eyes, dizziness (but not like room spinning dizziness), foggy feeling, body warmth, sort of nausea feeling etc. It's a horribly uncomfortable feeling. LCD iPhones on later iOS versions also give me similar feelings but not exactly the same and maybe not quite as immediate. I don't seem to get the headache that many of the people here get but maybe I'm getting migraines just without the headache part. The symptoms take some time before they go away. Usually a few hours of gradually getting better.
For me I'm not entirely convinced it's pure flicker. As I've tried to figure this out I realize that many devices I've used for years have a TON of flicker and have never bothered me. And the LCD iPhones/iPads that were ruined after the iOS updates don't seem to have "flicker" in the same sense as something like PWM. I've also started getting symptoms from screens in many new cars. But I tested my current vehicles (a 2013 and a 2020) and realized that the interior lighting/dashboard and screens flicker like CRAZY. But I get no symptoms at all.