I don't have the LOTR 4K discs so I can't say how they look on my 65" or 55" OLEDs. I'm waiting on the rumored ultimate 4K release to buy them. With that said, I have sampled the LOTR 4K digitals on my OLEDs and they look great to my eyes.
That's an issue as I think studios cater their video presentations to those watching these movies on smaller screens such as OLED. It shouldn't be that way, but I think it's a conscious effort on their part to make their discs look beautiful on such screens.
IMO, I think some people are bother more about DNR issues than probably most of the viewing public. I can't quantify that assertion, but it's my opinion.