Rebex FTP does not use STAT in any method.
The STAT command (with a filespec argument) acts like the LIST command. Rebex FTP sometimes uses the LIST command in directory retrievals methods (GetList, GetRawList, GetItems), but it is never used when getting information about individual file or directory (like the GetFileDateTime method).
More information can be found in this blogpost.
The GetFileDateTime first tries to call MLST command. If the MLST command is not supported by server, the MDTM command is called unconditionally. If the server does not support even the MDTM command, the GetFileDateTime fails with FtpException "Invalid command (500)".