I’ve activated automatic updates in Gnome Software Center. Now more and more updates are shown to me here. Even after a reboot, the update notifications are still there.
If I manually click on “update all” and reboot, the update notifications disappear, but I actually thought, after reading the documentation, that updates would require no action from me at all, and that’s what I want.

The weird thing is, the installed programs themselves claim to already be on the new, updated version.
So why are the updates still shown in the Software Center?