Other than being related to light-sensitivity of some sort, for some people on some screens, for others on others, there's really nothing you can concretely argue about.
Get real, we have the entire world using these LED screens for the last 5-8 years and for most people they are not a problem. Think on how many people use screens and how many people this forum has. Even accounting that a majority of people that suffers from these problems did not bother write about it on the internet, or does't know about or didn't bother to join this forum, we're talking about some 0.0001% of the population.
If we were hitting the barrier of hundreds of thousands or even millions of people on this board, one could argue that there would be a market for people like us. But that's not the case. All products have a small percentage of the population that can't use them for a reason or other. Some people are bothered by the metallic casings, some people can't stand the fan's noise, some people get migraines from the smell of these tints they put on the hardware, etc. If all of these minorities went on to push for changes, we'd end up with a banana as a keyboard and beet screens, living under a coconut roof.
Are you going to invite an Apple product guy (someone that needs to gauge whether it is profitable or not to pursuit research in this direction) to come here and take a look at 13 guys complaining that "the screens hurts their eyes"? What is it really that hurts their eyes? Oh, they don't really know.. some are generally light sensitive (Apple can't do anything about it), others think it's dithering, others it's the blue color, others it's the color temperature, others is the shape of the LED spectrum vs the natural one from the sun, others it's PWM, others complain that the anti-aliasing of fonts of some operating systems also gives them a headache (lol), others, others...
I see this forum as a very important place where people that suffer from these conditions can learn more about LED-related eye-strain. This helps people from an emotional perspective, but also from a practical perspective. People have came up with ideas, theories, and from time to time you even have people here saying that they saw improvements by doing this or that.
If you intend this forum to be something more than that, then you need to, as someone referred, conduct some sort of (reproducible) research showing that for at least a subset of our population (that's already quite small, to begin with), screens of type X and Y but not A and B, cause this and that effect. But we know, from reading this forum, that while most of the people agree on the general set of symptoms (headaches, migraines, pinching-eye pain, etc), most people actually differ on a lot of details. There's most likely not a "one solution fits all" approach to this.