In the Options section (not the Options menu) of At Ease Setup, you must set the "Location of User documents:" radio button to the "folder on At Ease disk." If this isn't set, the user doesn't have the access privileges to make any changes to the hard drive.
Without permissions to write to the hard drive, At Ease won't allow the user to copy from the hard drive. If you want to deny access, the user can work around this by opening the desired document and choosing Save As from the File menu to save to the user's floppy disk.