But that's not really communism. The "our X" jokes comes from the idea that under communism there is no private ownership. If there's something we all want to use it's free for all of us to use because it's "ours". Cloud computing is an excellent example. If cloud computing was "ours" everyone could have a computer because it's a shared resource. It doesn't prevent you from having your own computer if you want it, but if you do need a computer there's always one ready for you for free.
Instead what we're getting is techno feudalism where corporations own your computer and you're just renting it from them.