I never said the way you can tell it’s in the recording is by listening through speakers, whether they are are flat, colored, or otherwise. It why I specifically used an example of 2 channel digital recording.
The information, all of it, is reflected graphically through software on a DAW. That information can be separated and isolated. My example included toe taps, baton tapping, HVAC hum, and a whole host of other things. Those are all real world examples, all of those thing can and have happened during a recording. It wouldn’t matter what speakers you played them through, nobody would be able to “hear” them in isolation because they are buried in the mix well below the general recording level of the performance. But all of it is there on the recording.
And how do we know that? We can take that 2 ch. digital recording and run it back through a DAW with something like Protools, run narrow high and low pass filters around the 21.7 hz and there is the HVAC hum, clear as day. The same with the toe taps, baton tapping, the defective hammer on the piano, (which might be identifiable by some with no isolation), and all the rest. The information/content is in the recording.