[pimterry]

> It was SUPPOSED to enable me, myself, hosting my videos, on my computer(s) and making them available to whomever I want to, including everyone.

I think maybe you misunderstand PeerTube? It is exactly what you say the internet should be.

You can use it to host your videos yourself, on your own computer, and make them available to whomever you want to.

You can use a hosted version too, but it's not required. It's also completely possible to host in your own cupboard, or to use a cloud server you control. On whatever instance you use, you can still talk to your friends directly, through peer-to-peer connections to whichever instance they choose to use. It does even support RSS, and other PeerTube instances do indeed cache the video locally!

It has its own new set of problems of course, but it does seem like it's a strong step in exactly the direction you're interested in.