I mean it seems like he could do more damage to lexcorp reporting on things he sees as superman. he regularly busts up his lairs, he can just write about stuff he sees, and then cite himself as a source since everyone in the world thinks clark kent and superman are two different people anyway. Hell, if he just kept a smartphone in those spandex undies and took a moment to take pics of the stuff Lex Luthor gets up to, Lexcorp would be a memory. See also, Wayne Enterprises and Batman Inc. having far more potential for dogooding than batman alone.
The last panel is how they pretty much hand waved away his criminal past when he became president.