Supes was desperate, thought he was gonna die, and did anything he could for his mom in his dying breathe. Even if nothing would have came out of it. Not that hard to understand if you look at it that way
What would you do in a situation like that? "Save my mom" wouldn't do shyt. Atleast a name gives Batman some direction if he were to go about saving her.
And I'm not gonna lie and say the scene was convenient, but all comic book films have scenes like this. Don't overthink cuz it ain't that serious