To be honest, a train leaving early is a lot worse than leaving late. It means you show up at the right time, and you lose it - not cool at all.
They'd be penalised ( say ) 2 points for each late arrival but 8 for early arrival, and the same for being seen to stop ahead of the specified location.
I only did it for a couple of years but it was very interesting to watch the pros and made me appreciate the difficulties of maintaining schedules.
So yeah, not cool.