I have had led lights for over a decade. Come 10:30pm every night I'm falling asleep with no problem.
I'd have said N=1 vs the study out there, but I too work with screens & LED lighting all the time & the "light spectrum" that affects me is not exactly the indoor component.
My personal theory is that the daytime to nightime being about the same lighting is what sucks. When the total range of lighting varies a lot, I don't feel as bad. A lot of my troubles have gone away with a sun room in my house, where I can get bright light without being exactly outdoor.
You might just have enough contrast in your day/night lighting for it to not matter to your perception.
Unlike a lot of the people who are either indoors all the time or just switch from an LED lit office to an LED lit living room after work.
Improving those with a proper sunlamp might be a good way around it, but they're expensive & sometimes feels like overkill.
Yeah my anecdote proves nothing. But for what ever reason they don't seem to impact my sleep. Just throwing my data point out there.
Also my wife hates the sharp white light so we always go for the warm yellow LEDs.
My theory is that being obsessed with sleeping makes it hard to come by. Good luck applying that though.