Absolutely not even close.
https://en.wikipedia.org/wiki/West_Coast_offense
Just read up on it a bit. While there are certainly Bill Walsh concepts, such as the aspects passing tree and QB read progressions, the prevailing West Coast Offense philosophy was using the short passing game to open up the running game. It was a pass-first philosophy which bucked the overriding philosophy of the time of establishing the running game and depended on strict timing in the passing game. It also never used the shotgun in it's most pure form.
Conversely, we use the run to set up the play-action pass, almost never use pure timing routes and have a very vertical passing game while almost never using the first 15 yards of the field - aside from bubble screens. We also use the shotgun often, something pure West Coast guys never used as there was no ability to develop timing from the gun.
If anyone remembers Holmgren's offense, Hass would basically take his 5 step drop and throw. When the play worked - the offense looked beautiful but when the defense had the jump - we almost looked helpless and predictable.
As for some notion that Wilson is helped by the WCO while Cam Newton is hurt because he doesn't use it is pure nonsense but I wouldn't bother arguing with anyone that uses such an argument because they don't know football well and are likely not rational beings. Wilson is a better QB than Cam because he is better under pressure, is more accurate and a better student of the game.
