Myth, liberals hate the private sector.

[Dystopia]

And when you have no choice?

For example if you want internet, your choices are typically limited.

Well, things cost money and corporations who provide the services obviously want money and fucking lots of it. Now I am pretty left-wing myself, but the Internet (as it stands and to my knowledge) is a privilege not a right. If you can't afford it, then tough luck.

Actually some constitutions already have the right to access the internet as a fundamental right. In a world where you can do almost anything trough the internet, including paying your bills, finding a job, bank transfers, buying stuff, etc - It's inevitable that it becomes a right and not just a commodity. 

Also, your argument becomes invalid in cases of monopoly or when companies are owned by the same people and you don't really have a choice - Market externalities, small companies are automatically crushed, big companies remain with monopolies and screw over consumers, etc.