No, what you think you hear is "natural". It is not, no more than vinyl sounds "natural", no more the analog tape is "natural". They are not natural, they are colored. You just happen to like that coloration and associate that with natural.
Maybe there will come a time when most "audiophiles" will accept that what they like, and hence what they attribute as "natural" and accurate is anything but, at least if they put vinyl or tape on a pinnacle. It is not the pinnacle of accurate sound reproduction. Digital is. Very few audiophiles have heard the difference between a live microphone, a digital loop and a tape loop, let alone the eventual vinyl cut. And that is completely okay. It does not matter if you prefer the vinyl cut. All that matters is you like what you are listening to. However, describing it as natural is wrong because it is not.
All home audio systems are coloured in some way, whether it be from cables, component design, op amps, transformers, etc. You can stay in the digital domain but eventually the sound will be played through the speakers which have their own sonic signature, not to mention the room's influence.
The goal of most audiophiles is to reproduce music as close as possible to the original recording and the intent of engineer and producer.
And "air" is a desired element in music recording and playback; eg, classical, jazz, choral.