No, they don't disappear from you
Does Do Not Disturb have text messages?
Even if your phone is on silent, notifications will let you know about texts, calls, and app updates. iPhone and Android offer a “Do Not Disturb” mode to avoid incoming notifications, but what exactly does it do?
In this article, we'll explain what happens to text messages when Do Not Disturb is turned on, and whether you can still receive text messages and calls.
Do Not Disturb (DND) is a mode that silences your iPhone or Android device so that you aren’t distracted by incoming notifications. You’ll still receive notifications, texts, and calls, but your phone won’t make a sound and your screen won’t turn on to display them. DND mode is also now included as one of the Focus modes introduced in iOS 15 and Mac Monterey.