It is correct to argue about misleading terminology. "AI" contains the word "intelligence", and for instance logistic regression algorithm is not intelligent, while it is clearly ML, since machine learns something. As Machine learning is broader category, it should include Artificial Intelligence, not vice versa.
Also, 'every single course' is perhaps an overstatement - a course that I co-authored tries to get it right from the first principles.
As it is taught literally every single AI/machine learning course on the world, machine learning is very much part of AI completely since inception.
I don’t completely understand why it is this important for you to argue against this completely defined fact.