The important bit for me is that the sounds the pilot hears are also heard by anyone the pilot communicates with. Other players would hear the pilot's background chatter on other communications channels, warning claxons, impacts, weapon fire, possibly simulated explosion sounds, scanner noises, atmospheric noises, etc.
Using a proper microphone with a separate Teamspeak server means that ambient noises (such as people yelling in the background) are not heard by others. But that also means that game noises are not heard.
It could be argued that a space-faring society would have the pilot using a proper microphone so that the ambient noises of combat wouldn't interfere with their critical communications. I would say that gameplay invites keeping those ambient noises.