Depends... if it's a 24 hour problem it will be quickly forgotten.
If it lasts longer than that, requiring a firmware update with a workaround it will affect reputation.
If it requires a recall to fix the hardware (or at least reset the HW clock to a sane state) then it's a clusterfuck which will cost Sony a lot of money, sales and reputation.
My Mario Kart Wii friend code: 2707-1866-0957