Here is a quote that I find quite interesting and pretty much sums my analysis of the question at hand.
have a friend who survey's boats for a living and was previously in the boat repair business. His exact comment to me was I would never tell a client to ground his boat. So I asked him - "so you advise against it" and he replied " I would never tell a client not to ground a boat." He said he defers the question becuase its too much of a liability.
Same would go for the Stay in the Boat or get to shore.
Myself I stay in the grounded boat in spite of and because of the grounded boat having the same potential as the water.