The remote filesystem needs a server. HTTP is a much better protocol for serving multimedia documents. The remote file system protocols are slow because they are based on RPC and make lots of requests.
It is dangerous to use filesystem for sharing cause have to carefully limit write access. None of the current filesystem protocols do that well.
If you were designing something new, it would probably end up like WebDAV or S3, an object store that can be used like a file system. There is a place for distributed storage, like IPFS but better, but that wouldn't be a file system.
There is a standard for hypermedia documents, HTML. There were attempts to make it more semantic, like XHTML 2.0 or using RDF, and they failed. There were attempt to transform XML, XSL, and that failed.
People send HTML around, they upload it to servers like I did a few days ago. But HTML is usually generated, for me because Markdown is easier to edit and can use templates.