"filesystem" is not a name reserved for Unix-style file systems. There are many types of file system which is not built on according to your description. When I was a kid, I used systems which didn't support directories, but it was still file systems.
It's an incorrect take that a system to manage files must follow a set of patterns like the ones you mentioned to be called "file system".
It's an incorrect take that a system to manage files must follow a set of patterns like the ones you mentioned to be called "file system".