I goes both ways; I have certainly looked back on replays and seen my players scoring goals from offside positions and have them stand (I watch back on goals scored, pausing regularly because I'm often writing match-reports for my story in FMS).
However, when you get the option to criticise the ref as a news item, generally you are going to be told that you were wrong. You'll know that the ref was wrong when the FA decides not to say anything! If the ref was right, you'll quickly be slapped with a warning.
Generally, it's better to just shut your yap and just get on with it.
it happened to me on 9.1.0 in the league cup final when keane scored a goal for me and it was called offside but i checked the replay and he was never in an offside position, not even when he scored! Naturally i ripped into the referee after the game.