Recordings are actually 360degrees. When you place the speakers in front of you that's what gives you the frontal stage. 2 speakers can easily give you the 360 sound, it's the room you're hearing keep in mind.
Right, so by recording reverberations and all you should still have all of the auditory cues outlined in the above study that I posted. But I think you would have to look at that paper and consider yourself blind. I would expect that having experienced a performance live and being familiar with the venue would help in deciphering the information available in a 2 channel recording.
No being into classical music, I don't really have a lot of relevant personal experience.