It seems Jesus does not heal everyone.
Mark 6:5 And he could there do no mighty work, save that he laid his hands upon a few sick folk, and healed them.
So also in Luke:
Luke 5:15 But so much the more the report went abroad concerning him; and great multitudes gathered to hear and to be healed of their infirmities. 16 But he withdrew to the wilderness and prayed.
It seems Jesus does not heal everyone. The question in its simplest form: When does Jesus not heal?