Thinking about this a little further - does anyone remember a video in which two US Noisepervs (can't remember who right now, I think one of them might've been Stimbox?) are talking about what they do, basically interviewing each other, and one of them made the comment that when someone asks to see his live set-up, he's got no problem showing it to them, because as he told it, even if someone took every exact same pedal he had and set them up the exact same way, that person would still get a different result.
The thing about that is, I don't know if something like that has ever been tested. It might be interesting - setting up a live rig and having different people play it, to see what comes out. I wouldn't be surprised if something like that has been tried, but still.
I'm inclined to believe that the sound generated would be more or less the same but the "playing" would vary. Someone could go all cut-up crash-bang-whallop, someone else would drone, someone else would maybe just want to concentrate on one particular aspect. But unless there was a swapping around of the effects, or a removal of some, I'm inclined to believe there wouldn't be that much different.
But I could be wrong.