Do people actually know what you mean by "warm"? Are you sure it's not just a way of saying "the things you like about vinyl (varying per person)"? Because a definition like that would be a perfect example of something that's an association-based preference rather than a attribute-based preference. Which like hashkb said is perfectly fine to have, but makes the term pretty meaningless.
All of that has a very real impact on the end result and lots of old albums were recorded, mixed, and mastered for a fully analog playback medium.
If we're talking about music made in a fully digital studio and then pressed to vinyl at the end, then yeah, there really isn't a difference. Maybe it even sounds worse. But if your musicians and engineers are thinking about an entirely analog end result, then I do think it sounds different (and in my opinion better).
Compare vinyl to CD editions of some tunes.
There are real differences and it's not about how perfect the reproduction actually is. It is about how the music was mastered, the art of it.
Those vinyl limits bring out some really great art.
That is a lot of where "better" comes from in these discussions.
A similar thing happened when AM radio was a music medium. It's all about the production values. Some 70s era music just feels great!
Of course one can put that all on a CD, or digital track and enjoy it.
Honestly, more producers should be exploring these things. Perfection isn't what most people crave.
I see this trend toward vinyl as a value add to music. With the return of more if the art also comes more value.
We nailed audio reproduction long ago. All but the most crappy gear can perform better than humans can.
It's just not about that, and this trend seems to resonate with what people like, not what is technically superior.
Without getting into the merits or detriments of loudness and DRC, the physical medium of vinyl enforced a constraint on the sound.
[1] https://en.wikipedia.org/wiki/Loudness_war
[2] https://www.cnet.com/uk/news/compression-is-killing-your-mus...
But it's possible to like vinyl's imperfections and coloring of the sound purely for personal preference reasons. Nothing wrong with that.
I could even argue it's something akin to the reason people use Vim or Emacs over JetBrains or Atom ha
In reality, it could be that a randomly selected record sounds nicer than a randomly selected CD track, even though it really has little to do with the media itself.
This sort of thing happens all the time, just look at the culture that has developed around windows software development compared to the equivalent with GNU/Linux. It's not really a technical thing, there's very little that each OS isn't capable of. But the way the average piece of software for both platforms is designed, documented, and marketed is totally different.
Now play the CD. You have exactly that "pleasing" sound.