"High fidelity" does NOT mean "close to the original event." It means "close to what's on the recording." On a technical level, an audio playback system cannot do better than that.
It can do worse than that however, and still sound good. It's even possible that, by diverging from (i.e., distorting) what's on the recording, we can get a sound that we like better, or even get a sound that gives us a better illusion of a live musical event. But don't confuse "an illusion of a live musical event" with "a reproduction of a live musical event." The latter is impossible. The former is possible, but it might not be high fidelity!
It can do worse than that however, and still sound good. It's even possible that, by diverging from (i.e., distorting) what's on the recording, we can get a sound that we like better, or even get a sound that gives us a better illusion of a live musical event. But don't confuse "an illusion of a live musical event" with "a reproduction of a live musical event." The latter is impossible. The former is possible, but it might not be high fidelity!