I have amber alerts disabled but still receive weather emergency notifications. Which makes sense. Perhaps it works differently in different states?
In Texas my iPhone has this alert granularity: AMBER Emergency Public Safety Test
In Texas my iPhone has this alert granularity: AMBER Emergency Public Safety Test
If the local government is sane, they send WARNING and (unnamed) only - (unnamed) being the YOU ARE ALREADY DEAD MAKE YOUR TIME notices.
Then if you want WATCH you set your weather app to notify you on those.