Some of my bars contained multiple rooms. Each room with a name and theme.
While most of the time we would do a “one ticket access” to the entire building, we would often do a “per room” access. So, if you wanted to see the rock band, you would pay to go into one room. Or if you wanted to see a country band, you would pay to go into the other room. And you wouldn’t have to worry about the crowds mixing.
But no one ever said - we are playing The Blue Room or the Piggly Wiggly. It was always billed under the main bar with a notation that it was one place or the other.
However, that is completely different than the local stadium, which does book their various sections as separate places. The stadium for the big acts, and the amphitheater for smaller acts.
I can’t see a definitive answer coming simply because there are too many scenarios. My bar may have one name, with 5 named rooms inside, but next year I will change the name and theme of 3 of them. Are you going to list the 100 different names I’ve used in one venue - some of which I don’t even remember. But the stadium has been the stadium longer than I have been alive, with the amphitheater being there for the last decade or so.
*it should be noted: I may call it a bar and a room. But, the big room held 1500 people and the next room held 500. We aren’t talking about your local corner pub that holds 50 and has a room to shoot pool on the side.