When I'm learning a new piece of music (for piano), I tend to read the notes each time until I know the movement for my hands by memory. At that point I don't know what note I'm playing anymore only the location on the keyboard for my fingers.  

So when I need to know which note is at what point I need to walk the piece mentally to see where I place my fingers (or on the piano if I'm physically at an piano). 

What I was wondering is if this is important to actually know the notes from a piece by head or the motoric memory is enough and if it would bring limitations into the future?