When Jesus returns to Israel, landing fairly close to Capernaum on the shore of the Sea of Galilee, “people immediately recognized Him” and were drawn to Him – but Mark describes their interest in Him as focusing exclusively on a physical healing of some sort. 

Those who eventually became His apostles clung to Jesus for more than that physical reward.  They listened, asked questions, slowly learned what He was trying to tell them, and even got to the point that they could say that they loved Him (John 21:15-17).   The women who accompanied Jesus and His disciples were very similar to the men in this; think of Mary of Magdala (John 20:11-16).  

This leads me to ask what my own deepest hunger and thirst is when it comes to Jesus and whether I have gotten beyond asking for more than healing and peace from Him.  Do I seek to know His heart and to give Him my own heart?  To become always more like Him in every way possible?