This item flag should prevent music discs from showing their name. The record name is still visible in the lore, even after adding this item flag.

Steps to reproduce:

Run the command: /give @a music_disc_otherside[lore=['["",\{"text":"Andromedik - Forever","italic":false,"color":"gray"}]'],hide_additional_tooltip={}]
The music disc's name is still visible in the lore.