The ability to map a drive, and Discretionary Access Controls are completely different. Apples and Oranges.
Discretionary Access Controls puts control of an object into the hands of the person who creates it. For example, if Alice creates a file on a Windows server, she becomes the owner of that new file. The owner SID is tracked as part of the security descriptor that the NTFS file system maintains for the file. The owner is implicitly granted permission to read the security descriptor and change the DACL for the file. She is able to add/delete access to the file as needed (however, administrators of the system do have the ability to override those controls).
Mapped drives are hard drives, partitions or volumes, or network drives, which are always represented by names, letter(s), or number(s) and they are often followed by additional strings of data, directory tree branches, or alternate level(s) separated by a "\" symbol. Drive mapping is used to locate directories, files or objects, and applications, and is needed by the system, administrators, various other operators, and users or groups.
The mapped drives on the 98/95/3.1/ME/various boxes where not alloted the capability to utilize discretionary access controls. Even if you were to connect to a "mapped" drive from a machine that allows discretionary access controls (we'll use XP as an example) which is on a 98 machine, the ability to place discretionary access controls on a file/folder are not there, due to the allocation table didn't have those features. Let's talk about the other way. If you tried to access a file/folder on a mapped drive that is on an XP machine with a 98 machine (of course, after authentication), you still would not be able to look at DACLS from the 98 machine. If you created a file on the XP machine from the 98 machine, the file would have default permissions, and the owner is the account you used to map the drive.
Got you confused yet?