That Meta/facebook had a special role in the lives of his generation is not up for debate. It's a fact. Also, zuckerburg probably meant he was the "most well-known person in tech" of his generation, which is true. But expanding it beyond tech, he definitely is as well-known as anyone else in his generation. Everyone in his generation knows what facebook is. Everyone in his generation knows zuckerburg.
The guy may be arrogant, but nothing about his statement was arrogant. He was stating facts.