Only partially accurate... in a roundabout way...
'Tis a pity, but it was still entertaining!
As for the differing gauges, I don't think it's quite fair to start including them as they would seem to be later developments as rail transport became more widespread. That is to say, it would seem that railways initially developed along relatively level ground with few tight turns or steep inclines/declines to worry about. As the use of rail spread, they created solutions to more demanding landscapes such as different gauges to better handle tight turns and the funicular railway.
Having said that, my knowledge of the development of railways is pretty limited so please don't hesitate to correct my ignorance!
