You can cast tabs from Chrome on Linux. What support are you asking about? Any developer can choose to implement the Chromecast API.
[0]: https://chrome.google.com/webstore/detail/google-cast/boadge... [1]: https://developers.google.com/cast/docs/chrome_sender
I downloaded CastHelloVideo-chrome, put it on my webserver, opened the URL in Chrome, and it worked as advertised. Granted, it does require Chrome and the Google Cast extension, which is as far as I know proprietary.