Back in the 80s/90s when CDs first came around, we had similar discussions (and then again when MP3 came around).
As far as CDs go, I always found AAD to sound better than DDD.
And today's bland mainstream music, I don't blame the digital. I blame all of the uber processed recordings - every auto-tuned note synchronized to a computerized timing clock. All while compressors/limiters make the volume for each note exactly the same. No amount of - "let's put it on vinyl" will make it sound any better.
So, while not completely related, it is not unrelated to your question.
You just have to look at all the factors, not just one. Because they all have a role in the final output.
Even the L6 stuff, some people say they get better tone using it with a tube amp (but then they go and record on a computer). So, in that instance, it is the last stage of tone that brings out the 'warmth' for them. Change the speaker to get a little 'extra'. Everything else is that same bland digital that they hate, but the tube amp they like. How do they capture the tube amp warmth on a computerized recorder, is anyone's guess.
Using myself as an example, I never used a tube amp. Once I 'completed' building my [previous/old] rig, it was all microchips. Nothing like today's digital experiences, but certainly not analog. But no one ever told me I was too digital/processed. No one ever told me my tone was lacking. They either liked what they heard or they didn't.
*specifically a Peavey Bandit 65, two ART SGE Mach II, and a Rocktron Pro GAP (the black and red model).