This is so key to discussions about an "accurate" restoration of a piece of art. Just look at the restorations done of classic films. There's so much argument, in many of these cases, about whether or not the restoration is true to the artist's original vision but, even in the case where the original artist is involved in the restoration, there continues to be argument over whether that artist's own vision changed. I mean, just look at George Lucas and the restorations/updates of the Star Wars franchise. Fans are now clamoring to "properly" restore these films to their original versions while others claim that George Lucas's updates are the proper ones because he's the original artist. The idea that technology has allowed him to create what he "originally wanted" instead of what he had to release is a really interesting argument.
And then you have the case of monkey Jesus where an attempt was made to restore a piece of art that, arguably, either made it better or worse depending on what your view of the original piece is. I find it hilarious but a lot of people have suggested that the original piece wouldn't have been viewed by as many people or gained such popularity if it wasn't for that terrible restoration job.
/shrug