When you burn an Audio-CD, it will be according to the Red Book standard, which was later enriched with the CD-Text functionality. After adding all necessary info to the CD-text function in WL, the Audio CD you burn will have all titles, artist and overall CD info written into it.
The problem is that only very few players can actually read CD-Text from the disk itself - and most computer players (Windows Media Player, VLC) don’t normally read it (sometimes with an added plugin). These players normally start looking for data of the loaded disk from online databases (based on number of tracks and their playnig time), and that’s why most commercial CDs are recognized.
For the use you describe, it may be better to write a data disk with individual tracks (wav or mp3 for instance) that include all metadata. Certainly with mp3 all players show the data that was added.