Even classical music has a similar 'problem'... performances of the 'same' work can be very different. (And I'm sure that would be true even if the same instruments and same musicians are used.) Most of the differences come from different conductors/ensembles. (Orchestas also have 'traditional performances' that they'd rather cling to, and may resist conductors (often younger ones) who attempt any 'wild-haired' differences.)

Music's very fluid. Recordings of performances are probably as close to 'same' as we can get. Non-musicians may prefer to listen to these 'same' performances over and over for the 'fidelity' of their experiences. But it might stop them (as they age) from discovering better ones.

If MIDI is used to create the dynamics, 'patches' and all other modulations, oscillations, tempos, et.al of a synth or ten, then something close to 'same' might be approachable. But that means, oh, say, ten times as much work.

Depends on the listener whether that's a good thing. In my experience, a superior cover of a single recording (same or different singer, different producer) can turn a OK single into a damn! single.

Edit: (Case in point: 'Major Tom (Coming Home)' 1983 version: https://www.youtube.com/watch?v=wO0A0XcWy88 )