Comedians make stuff up to make their stories more funny. Minhaj was making stuff up to make himself seem more like a victim. There were no punchlines in his anthrax story. Lying about his daughter being exposed to anthrax did nothing to make his special funnier.

The difference is that other comedians lie in order to be more funny, which is something any comedy audience implicitly accepts. Hasan was only lying to make himself seem more like a victim and gain sympathy from the audience. Hollywood generally rewards diversity more than talent, and Hasan exploited this with his fake sob stories.