Some recordings like acoustic are naturally warm and should sound so. If such recordings are not warm there is noticeable distortion . Warmth is the sound left after peeling away a enough of the icy layer's of noise that permeate our systems. Some like it some don't. If warmth doesn't sound good then you still have noise you can hear.
I've had tube pre-amps that colored the sound and added warmth at the expense of noise. After a while the rose fell off the bloom and all I could hear was the distortion. My current DHT pre-amp is tube and the trade-off of musicality and warmth is worth the smidge of even harmonic distortion. Most if the noise in my system is not from the gear but from AC, EMI, RFI, ground plane and the like.
For me accuracy of reproduction is secondary to enjoyment of the music. I much prefer a sweet sound over a detailed cooler presentation. Its just better for my nerves.
Unveiling warmth is a long and arduous road. The foundation is controlling noise in the system not just upgrading parts. Noise is something I generally don't hear the scope of until it's gone. I find it beguiling in that I am surprised and pleased when I peel away another layer and I think it can't possibly sound better, but yet I know there is some I am not fully hearing.
It's what keeps me tinkering.

