I believe what you said is correct and this headline is incredibly misleading. Most people should not need to upload any ID. If you are so addicted to NSFW content on Discord, then it is a different story.
I'm in a small server that's marked NSFW, not because the purpose is to share porn, but because without the server owner checking that box, Discord with use content filters wherever it deems necessary.
Lots of servers just hit the nsfw checkbox to avoid the discord nanny tsk tsking them all the time.
I would have to verify my ID to talk to those friends.