I don't think things are quite as black and white as Peter and Tim suggest when it comes to hearing or not hearing the separation of instruments in a concert hall. To say it is not a characteristic of natural sounds seems rather inaccurate and misguided to me.
Rather, I think to a large degree it depends on which hall you are referring to and more importantly, exactly where in the hall you sit. I've discussed this specifically with regard to seating at Carnegie
https://www.whatsbestforum.com/threads/the-sound-at-carnegie-hall.20911/. At Carnegie, many consider the best sound to be at the upper balcony, but the ability to point to specific instrument locations is very difficult to near impossible from those seats. However this is rather easy to do in say, the First Blavatnik Tier (my regular seats). At Chicago, the ability to identify instrument location with your eyes closed is uncanny from the center boxes and particularly from seats in the front the Lower Fadim balcony. From there, you can point a blind finger and identify the sound of any instrument almost to the inch. Recall how it is said bass is "non-directional"? (Biggest fallacy in audio). You can point to the skin of an individual tympani or bass drum or a single upright double bass from among 8 with uncanny accuracy from those seats in Chicago. The reason those Chicago seats allow this localization even better than Carnegie is that the front Fadim and Box seats at Chicago are about 15 rows back from the stage where in Blavatnik/Carnegie they're about 25 rows back from the stage. (Thus the soundfield in Chicago subtends a larger angle which seemingly allows more precise instrument localization within the orchestra than comparative first tier seats in Carnegie). Same from the Grand Tier seats at Powell Hall in St. Louis, but like Carnegie. the higher you go, the individual instrument locations becomes more blurred. Similar examples can be found at Myerson Hall in DFW, St. Petersburg, La Scala, Concertbetbouw, and Barbican to name a few.
I don't dispute the experience Peter and Tim have at the BSO (one of the greatest halls in the world) but I suggest their experience is based mainly on seat location in a specific hall, not whether what they are hearing is an inherent quality of "natural sound".
It's also important to remember that when you listen at home, you don't necessarily listen to the sound of instruments in the hall from any seat, but rather, the sound captured by the recording microphones, but that's another kettle of fish entirely.