Man, the board already looked reckless and incompetent, but this solidifies the appearance. You can do crazy ill-advised things, but if you unwaveringly commit, we’ll always wonder if you’re secretly a genius. But when you immediately backtrack, we’ll know you were a fool all along.
That seems a lot be better than doubling down on a bad mistake to save face, but we do care quite a bit about about looking strong, don't we.
And if they were right to fire Sam, they're now reacting too quickly to negative backlash. 24 hours ago they thought this was the right move; the only change has been perception.