What are the scenarios that you can Alhamdulillah instead of "Allah u Akbar" that is being used today by Muslims? I'm asking as a Muslim who never do that and

What are the scenarios that you can Alhamdulillah instead of "Allah u Akbar" that is being used today by Muslims? I'm asking as a Muslim who never do that and have never heard anything like this claim. So it would be interested to know if you have different experience. It is obvious when to say both, but many people here are considering themselves experts on Islam don't even know the basics.