I agree that there can be a preference of techniques based on display tech. But I think it's a mixed bag in what happened with dither, and other factors are more important. So I'm concerned if it may look like the display tech is the deciding reason for or against dither in particular.
The primary motivation for dither was getting around the limited colour depth for things that required more colour. Displays were capable of more colours long before the processing. Dither was already on the decline before the LCD, because of the higher colour depth in processing. And if we still would have had 8-bit by the time LCD became popular, people would still have dithered like hell. Dither often looked like crap on CRT too, because of the crappy preset palette of consoles. But the need for more colour was so strong people did it anyway.
Now as you mentioned, later on with LCDs, something interesting happened, because of the ever higher resolution, dither started to look good again on LCD. Or let's put it this way: pixels became so small, that they became the equivalent to the rgb components of real pixels in the old days. In that, dither colour could become literally indistinguishable from actual colour. But the problem then is, why bother? why complicating your work when you don't need it. We have all the colour in the world. That's what makes dither pixel art retro in the actual sense, because it has problems justifying itself in the modern world.
But that's only half true either. Because besides some subtleties in looks, I've seen people sometimes do interesting effects with dither in a way that obviously relies on being dither. That's the situation we have now. People are looking for ways to differentiate themselves on the market. They see most games don't use dither. So maybe let's try make something with dither. But just being different isn't enough. It must be different in an interesting and relevant way.
"Because I rely on dither, I can do feature xyz."
"Because I don't use dither, I can do feature xyz."
Which side has the better conclusion to that. That's what decides the fate of dither today.
The success of pixel style or technique is no longer about hardware. It's about the features a chosen style or technique can provide or support.