Funniest argument I heard was on Ascot station platform, between a train driver (TD) and the platform announcer (PA) - waiting for a train into London.
PA - Next train to London is on Platform 2
So lots of people get onto the train on platform 2
TD, over the intercom, This train is not going to London, please get off the train if you want to go to London
PA - Please get onto the train on Platform 2 for London
TD - No, this train isn't going to London. Please get off the train if you want to go to London
This continued back and forth several times with people getting on and off the train, getting more and more bemused and worried about where they were going to end up...
Ended up with the PA and TD shouting at each other, along the lines of
PA Your train is going to London. Let everybody on so you can go in 2 minutes
TD - this train isn't going to London - I'm the train driver and I should know
PA - well I set the points and it is going to london - so I'm the one that knows
This went on several more times, getting increasingly sweary and heated, everybody on the platform standing and watching in amazement. Unfortunately it was before the days of phone cameras - which is a shame as I can see that it would have gone viral very quickly.
In the end nobody got on the train, td drove off with the pa still yelling announcements at him, both convinced that they were right. No idea where the train did actually end up!