Thinking that there is such a thing as an infallible hero or idol is a fool's belief. Noam Chomsky can be right in some parts, and wrong in some other parts. Everybody is, that's kind of the point of our species.
He did some work on grammar long ago. Then he held back research in cognitive science for decades promoting nativism.
And he's spent most of his time embracing Kremlin talking points both during the cold war and post cold war. Some of that work includes denials of genocide that he has still not apologized for.