Norway's railroad also went "private" a few years ago, and have butchered it up into (not all):
- we have a directorate of railway deciding where to build tracks, what providers must adhere to, their timetables etc
- one government owned company building
- one government owned company building and maintaining the tracks
- one government owned company owning the trains
- another one maintaining the trains
- one government owned company responsible for all ticketing, purchasing, route search, providing timetables etc
- 3 different companies having won a bid for different routes. They have to lease the trains. But since they have monopoly on their route and the directorate decides everything, having multiple hasn't really led to any competition. Sure, they fought somewhat on price for the bid, but for the next 10 years the only thing they really do is provide personnel for the trains.
Nothing here made train a better or more viable alternative for the people. Just 5x the amount of highly paid directors. And more overhead and less cooperation. In fact it's now often more expensive to take train long distance, as you end up paying (price + price) from two companies instead of a single rebated long distance ticket.
One of the companies now driving in Norway is the not-very-popular British Go-Ahead, even.