Following the splendid question Has Vengerov's performance of the Sibelius violin concerto (1904 version) ever been recorded? I was listening to the Ilja Gringolts recording that Aaron links in his answer.
At around minute 36-37 the violinist starts one of his solos and there are various moments where his breathing is very loud (minute 39:01 for example). From what I read in Music SE's Why do string players tend to breathe heavily in performance?, this is rather common. I have also encountered in jazz recordings, where some performer may be doing a duda duu to accompany the melody.
I guess the breath is not audible to the audience in the theatre, but it really is for listeners of the audio. Some may even find it as something that diminishes the quality of the recording.
For this, is there any postprocessing in classical and jazz music performances to delete the breathing sound of the performers?