Please allow me to speak as someone who has had an opportunity most listeners will never have, that of comparing the direct un-recorded output of an analog mixing console to the exact signal passed through A/D and D/A. We had the return of an early Sony digital recording system sent back to the console monitor selector switch, which permitted a direct A/B comparison to un-ditigized "live" vs digitally recorded and reproduced. In sighted A/B tests, we would often think we could pick the digital version out, but in unsighted A/B tests, our best and youngest ears scored 50/50 (guessing). In fact, the monitor selector often got left in the digital monitor position by accident, and nobody in the control room noticed until the looked at the switch. However, if we played a vinyl record in the same room, in sync, and with accurate and verified RIAA eq, and compared it to the digital master, the difference was always clear and obvious. On pristine vinyl with very low noise and no defects, we could hear higher distortion in the vinyl, though from a frequency response, stereo perspective, reverb, and dynamics viewpoint they sounded nearly identical. None of that amazing vinyl sound everyone expects. When you compare vinyl and digital, you aren't comparing the same recordings and mastering, you're comparing two entirely different signal chains. No fair, and meaningless.
Again, this is comparing apples and pork chops. Two different recordings, 10 years apart, different studios, mics, acoustics, producers, and you conclude the older one is better because it didin't use a particular technology, which had the least impact of any of those things I just listed.
After working in the industry for 40+ years (audio engineering, broadcasting, recording, music production, etc.), looking for to see if analog anything is better than digital (since it's introduction) I'm sorry, I can't find it. I find reasons why the results are different, but they are all, and I mean ALL related to decisions humans made along the line, not the technology itself. I've made masters both ways simultaneously from the same console output. Digital was always better, no question, completely transparent, an identical copy of the console output.
There are some really horrible analog/vinyl recordings too. As one example, RCA "Living Presence" of Chicago Symphony/Reiner playing "Mysterious Mountain" by Alan Hovhaness. I have the vinyl and the "remastered" cd. Both are loaded with distortion and intermod. The simply hit tape way to hard. The record suffers from sub-standard vinyl, so it's full of defects (tried several copies, all are this way), and the CD has none of that. Both have exactly the same soundstage. The performance was spectacular, and RCA captured Reiner's string sound, but smashed the daylights out of high levels. So much for analog.
You can find good and bad examples in all types of recordings. It's people, not technology.