To shut down the phone, all the open apps have to be closed down.
After the restart of the phone, there are no "recent" apps.
What do you mean by "app list"? Are you talking about the Overview/Recent Apps screen? Or your App Drawer?
Maybe the update change this , I know my samsung phones use to clear apps upon restarting but now they don't . I believe it started with andriod 10. It could be different between manufacturer how they do this .I nean all the apps which were open get closed after rebooting. Normally the apps remain open even after rebooting