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.
IMO Its not about looking strong, its about looking competent. Competent people don't fire their CEO of multi-billion dollar unicorn without thinking it through first. Walking back the firing so soon suggest no thinking was involved.
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.