I do think high res/SACD sound more like analog -- certainly close enough that I don't think I could tell the difference, even if we found a way to DBT "fatigue".
The problem with describing it is that it's subliminal -- honestly, you're getting so close that really the only difference is fatigue, which I can't hear until I listen for several minutes, perhaps an entire disc.
Okay, here's word for you: "grunge". And I don't mean full-on distortion, I mean a really subtle grunge that you barely notice. It goes where I said "veil" did not. It's easiest to hear when you go back and forth between SACD and CD on the same player (as I've been doing all week). CD is still perfectly listenable, but there's a relief when listening to SACD that just isn't there with CD.