This is precisely why most attempted literal kopykat interpretations are unsuccessful.
Although with intimate and repeated listening to certain performances, we can come to a level where we expect everything, there are no surprises, and surely if we had the technical ability to physically recreate it, we could.
I think people assume that copying a performance is impossible because of all the subtle little things, and while that is a difficulty, a logical and brilliant interpretation, no matter how seemingly capricous and colourful, should have a sense of inevitability after extended exposure.
See the bigger picture, and notice how everything relates.
Great performers are like great painters, while focussing on little colouristic details, still keeping a sense of how it relates and appears as part of the whole work.