Yeah no. He had zero reason to lie about his name. It will only serve to make this lady look like a fool. I mean jfc she was clearly asking for your with a purpose in mind.
Heck he probably could've changed those girl's in the hallway minds if he had introduced himself because of the contrast in how he acted and he was rumored to be.
It honestly puts a strong hamper on wanting to keep up with this to see such a stupid move so early in the series.
An ability that requires self-infliction?
I don't know maybe I just read too much crap. Unless that's how it actually is, Luna's character is too damn idiotic just as much as the MC's reason for using an alias & it had to have been that snob's name in the first couple chapters.