Sometimes he touched those He healed. Sometimes He just spoke and declared their healing. Sometimes he required action, like washing in the river, and yet other times nothing was required at all. Sometimes those who received healing initiated the interaction with Jesus and sometimes it was Jesus that acted on His own initiative.
I think what we are supposed to learn from these various accounts is that the manner of ministry is not the central focus. It’s not the method, it is the man- Jesus- who works. We humans often get caught up in doing things a certain way because it worked once and we lose sight of the One who does the real work.
Take Away: It’s not the method it is the man- Jesus- who works.