Why do people find Timothée Chalamet’s speech to be egotistical?

Wanting to be one of the greats, looking up to them, and striving to be them one day. What is egotistical about it?

As a passionate actor/actress wouldn’t you want to strive for the exact same thing? To be considered one of the best?

He never claimed he was one of the best but that he looks up to the best and hopes to be them one day.