Discs that are burned with Nero CD-DVD Speed have information about the burning drive recorded as a visible or invisible file, depending on the type of data burned. This can be switched on/off with the "Include tests data" option in CDSpeed.
All recorded DVD-R/RW media include information about which drive was used to burn the media, regardless of which burning program is used.
Nero CD-DVD Speed will show the information it recorded itself if available, or else it will show the standard recording information for DVD-R/RW media.
For CD-R media and DVD+R/RW media not recorded with CDSpeed, there is no "recorded with" information available so none will be shown.