If you actually had a copy of an original master tape, for example, and you played it on two different systems, lets say they are extreme high end, I bet that master tape would sound different on each to some degree even if you used the same reel to reel device. So, unless you were present at the actual recording and heard it with your own ears, would you really know how it sounded?
I guess that the only thing I could think of is that I want a trombone to sound like a trombone, a piano to sound like a piano and so on. I cannot say I have heard systems that a trombone sounds like a trumpet lets say. Whether in a hall that sounds warm or neutral, well I guess if we want to hear it in a warm hall, we may decide to tweek our systems to that way of listening and so on.I have master tapes, and have encountered colorations due to playback. I actually made two master tapes of one project, as we wanted a backup. The backup machine was solid state. Starting right there, we noticed colorations simply on account of the machines used- the tube master sounded best on the tube machine in playback, sounded better than the solid state master while played back on the solid state machine, and the solid state master sounded best played back on the tube machine. So there is the initial colorations that the recording gear imposes...
Then there are the room, speakers and amplification, all which impose some sort of tonal coloration (more or less bass, more or less highs and so on).
Its impossible to know what is right unless you were there to hear how the actual performance sounded.

