Meh. I think my personal experiences go hand in hand with varous industries addressing the issues of LED. Every major eyeglass lens manufacturer is making blue-light blocking lenses. Every major monitor manufacturer is including blue-light reduction and flicker reduction technologies. Every operating system is including blue-light reduction software. Every major bulb manufacturer is making reduced blue-light reduced bulbs and flicker free bulbs. And on and on. And most of the industries are claiming to address eye-care issues, not sleep deprivation. I guess these industries also have 'confirmation bias', and goes right along with my own and so many other people.
You must remember, the consumer industry doesn't always do things because there is good evidence for it. Cosmetics and dietary supplements are good examples here - it is what consumers
think they should do that drives the industry. Unfortunately these ideas are used as evidence that it is valid, so it becomes a circular argument. Banning a certain chemical from cosmetics, so advertisers can say "now without xyz" which leads people to assume its bad because - why else would they remove it?
The blue light thing, as far as I'm aware came about because of three semi-related things.
Firstly, as LEDs got brighter, the amount of blue light coming from the cheaper higher colour temperature dies became significant. This was mostly because of the brightness rather than the blue light itself, it is just unfiltered, there is a pretty strong blue line in white LED's, where-as the rest of the spectrum is spread out. Modern white LED's tend to have a much less pronounced peak here.
Secondly, the discovery that we have cells in our eyes that seems to respond to blue light and are associated with circadian rhythms. This is why you often read about "screen time and disturbed sleep". I couldn't actually find any reasonable studies of this (please link if you found some) apart from news sites making claims. It has been assumed but not confirmed that it actually disrupts sleep, because the few studies I found used "screen time" (which involves web browsing, reading, interacting) or blue light (which isn't what screens emit) rather than just a blank white LED backlight. Here, someone has made the leap that blue light disrupts sleep -> white LED's emit blue light -> phone screens use white LED's as backlights (except the OLEDs!) -> ergo, phone = bad sleep.
Thirdly, the relatively recent discovery that prolonged exposure to bright blue light can damage the eye. Again, it seems the media has assumed that "blue light" means "any white LED source, because they emit blue.. right?". It isn't really a fair test to expose retinal cells, in a dish, to strong blue single wavelength light, then assume that a phone screen will do the same to cells in the eye itself. But thats not what was originally claimed.
I have no doubt that very bright LED sources can damage the eye, cause eye strain, and headaches. But so can all other light sources if the intensity is sufficient. I also don't know about the "blue light in white LED's affecting sleep" because I haven't found a reasonable study to actually test it.
One tip for the OP - turn the brightness down. Most of the tablets, phones and laptops I've used over the past 10 years have become increasingly brighter on their default settings, significantly so. I recently set my phone brightness to 10% (Huawei TFT) and got used to it in about a day. At night, if I use it in low light levels I can get away with even lower that that. Also, "night mode" is handy on some browsers, since many websites still insist on having white backgrounds. If in doubt, don't change anything, and measure the light intensity yourself - then use those numbers for comparison when you reduce the brightness.