I think that one goal could be to reproduce the original wavefront from the performance venue and release it into the listening environment. But, this would be imperfect too because the original wavefront would stumble over quirks in the listening environment. (Surfaces and objects that were not present during the recording session)

In some cases I would not want to capture the original ambience. I can recall one concert where I was sitting in a premium, but acoustically unfortunate spot. There was a nasty slap from a surface that should have been inert. This was a premium hall and world class full orchestra, not some high school gym or auditorium.