It is true, how come Luiz Suarez and John Terry get a few games ban for racism yet if a fan did it they would probably face prosecution and be banned for life
I far as I'm aware (and im no lawyer) it's because, as employees of the club the FA, UEFA and FIFA, the laws allow all that stuff to be passed by them as their own governing body (however in England It'll usually stop at the FA). Whereas fans are only affiliated through support and aren't directly attached, so are governed by the laws of the land.
It's like military courts have rules and laws within themselves to deal with events up to a certain level (otherwise every foot soldier would be imprisoned for multiple cases of attempted murder or aiding in said murder if they abide by civilian law). If a player killed a coach at the training ground (or committed a murder of any kind really) it's out of the FA's hands and into the judgment of the Crown Courts. Their influence only carries so far.