No. This filesystem, like the machine on which it will be implemented, is "proof of concept." From the programmer's perspective, it will be a "stream of bytes" model that will effectively implement the UNIX unbuffered file I/O methods.
What would you define as a "filesystem from the C world"? Neither K&R or ANSI C define how a filesystem is or should be internally structured. The local operating system attends to that matter, which obviously takes filesystem implementation out of ANSI's purview.
What ANSI does define is that the standard library make local operating system file access services available for both buffered and unbuffered (raw) access, using ANSI-defined function names. For buffered access, functions such as fopen(), fread(), fseek(), etc., are used. If raw access, the UNIX equivalents, which don't have an 'f' in the function name, are used. In either case, the standard library code interfaces to the operating system API in a machine-specific way and expects the OS to take care of the internal mumbo-jumbo. None of that is part of the ANSI standard.