Playstation price drop 250 days
Gamecube Price drop 176 days
Dreamcast price drop 245 days
Xbox price drop 181 days
PS3 price drop 229
The only "Failed" system i see is dreamcast and it was cut 5 days earlier than the PSX one of the most successful systems, and the GameCube which made nintendo a great deal of money and had some amazing games was cut at 176.......xbox might have lost MSFT a buttload of money but it produced some stellar games, so theres some stuff to answer the underlying question of your thread, no the PS3 is not a failure based on the price drop.
On a related note, Peter Moore seems to be the only constant with failed consoles of relative generation, eh?