I do a little of both and know enough to tell you that tab (mostly) contains no rhythmic info. and therefore is not as concise as music on a staff (i.e. often tab is written in a way that is OK as long as you know the tune). I think both are valid, if you want to communicate concisely with another musician or record musical ideas. I personally don’t like simply copying other people and try to think of the music written on the paper as a scaffold to elaborate on. It is very surprising how many people thing of a song as an absolute ‘thing’ rather than as an evolving idea! I think learning basic music theory and a little about the staff are very important for a musicians development. They are however only supposed to facilitate the act of making music !