I agree it doesn't hurt but at the same time, I'm a strong believer in "too many cooks in the kitchen". Especially when you add to the fact that Elon Musk and his team of engineers are not experts in search and rescue.
Also, where was he during the first few days of the rescue? All of a sudden this story has international attention and he steps in.
He's that kid that tried to build a crazy contraption to save the cat from the tree when all you really needed was a sturdy ladder.