Ambiguity in Auto Create\Update Statistics If I set 'Auto Update Statistics' to 'False' and 'Auto Update Statistics Asynchronously' to 'True'

What the DB will do?

Also - If I set 'Auto Create Statistics' to 'True', It will be 'Async'?
No ambiguity there.

If you set 'Auto Update Statistics' to 'False' statistics will not be updated automatically.

If you set 'Auto Update Statistics' to 'True' they will be updated according synchronously or asynchronously according to to the 'Auto Update Statistics Asynchronously' settings.