What is the difference between the definition of "al-hamd" (praise) and the definition of "al-madḥ" (commendation)?

Question:
May Allah reward you, Honorable Shaykh. A questioner says: Some scholars distinguish between the definition of al-hamd and the definition of al-madḥ. Al-hamd involves love and glorification, whereas al-madḥ may be false praise, or praise out of fear, or something similar. Is this distinction correct?

Answer:
No. They distinguished between what is the work of the servant, for which he is praised; it is said that he is praised for his voluntary actions. As for al-madḥ, it is for something in which a person has no choice, such as beauty, being handsome in appearance. This is called al-madḥ, not al-hamd. So he is not praised for being handsome in appearance; rather, he is commended for it. Yes.