Imagine seeing someone use a bunch of long technical terms that you have no understanding of to explain the cause of something, and your conclusion is "This guy has no clue what he's doing". Is Fia stupid?
I imagine Evelyn's going to twist that statement next chapter by stating that Anthony was the one who broke the rules of the children's wing, or something
This translation makes more sense (as expected), Hana's not talking about Berserk the manga series, but Berserk the commonly seen status condition in JRPGs.
So they didn't go all the way, but they've got one foot in the door. I'm okay with this, I think it's more climactic if it happens after he passes the exam.