Over the years I have used OSMC for my TV. I have never used it for streaming however always internal across the network streaming of my own content. It worked reasonably well for the most part although I have had issues with Samba in recent versions and have stopped using it. I can’t say much about its streaming, mostly for that you need a supported android or similar device rather than an open source one.
Linux was in use on some university machines although I lot of them were still running Sun hardware OS. The main distribution I used at the time was Slackware.