https://en.wiktionary.org/wiki/illeist
Elmo, Julius Caesar, and Salvador Dali have been identified as illeists.
https://www.mentalfloss.com/article/27322/11-famous-illeists
Basically, Future Ben is a top bloke. When I'm too busy, I just leave the housework for him. On the other hand, Past Ben is an enormous jerk. He's always leaving me shit to do.
It has become a traditional joke in itself for a few generations!
In Japanese, he or she is called バッチリ日本人. (^_^)
Dali, BTW? So the literal translation of the original quote would have read something like, "Dali doesn't do drugs; Dali is drugs?"
I'm only a beginner in Japanese so I might be wrong, but I don't think that's correct. (Or am I missing a joke?)
バッチリ means "perfect" or "fully prepared" and it's an adverb; 日本人 means "a Japanese person". I can't find anywhere stating this phrase means an illeist.
One way to say that is just 一人称を名前で呼ぶ人, which means "a person who uses their name as their first person pronoun."
Search for it, in quotes.
The joke is that everyone Japanese refers to themselves using grammar that is identical referring to a third party, sometimes even by using their actual name.
(Though it's not a grammatical third person, since there is no such thing, and semantically it is understood as a self-reference.0