I've never heard audiophile "air" at the thousands of live acoustic (not amplified in any way) concerts. I think, in general, it's probably a pleasant artifact of recording and reproduction.
Lowering the noise floor by having clean power through the mains will reveal air and ambience on the recording. Also vibration control on components and rack, and an acoustically treated room will reveal air and more in the recordings.
Get better speakers. Most speakers have horrendous time coherence.
As a former recording engineer, I can tell you that there is no 'air' in the studio. In good rooms like Paramount, Sky Walker, Hit Factory, Oceanway, Capital A, etc. an acoustic guitar or piano sound much as it does in a small club.
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