Are Mexicans descended from the Aztecs?

The Word 'Aztec' was created by an American writing a book, to separate or distinguish the older generation of Mexicans from the current ones. "Aztecs" in actuality called them selves Mexicas. Mexicans today and Mexicans of the past have the same relation as Ancient Chinese and Modern Chinese.

Now obviously Mexicans can be of any race. As a black person who is a Chinese citizen is also Chinese. But reguarding racial ethnicity, yes.