What makes your playing convincing is that you can respond quickly and effectively to your own musical insights, conscious or unconscious. A triumphant moment in one student's lesson last week occurred when she purposefully changed an articulation; I heard it and commented on it because it was so clear and so interesting. I pointed it out to her thinking that perhaps she had done it unconsciously, as often happens. Lo and behold! She had done it on purpose. The idea was her own, and it was a good idea. What pleased us both was that it had been clearly audible.
First steps to mastery.