Of course you may analyze a performance. But if you are involved in the music, and if you follow the musical development, the rest is not important. Obviously, you may concentrate on the details and how it was done, but this is a totally different story. You look from a totally different attitude. It was all to serve the musical performance.
Some people have incredible talent, some normal talent, and some technical talent.
And everyone explores his own road. For example, some cellists are not inspired by music, but are inspired by playing fast or playing with a big sound or other technical aspects. But their phrasing is artificial. You always recognize it by just feeling that something is not right, not natural. Always related to your personal taste, experience, and expectation.