This is another reason it never made sense to me that Lois would date and/or marry Lex. How could she continue her career if she was constantly being photographed with Lex for the society pages?
Well, in this world the DP takes out billboards with the photos of their top two investigative reporters plastered on them, so Lois seems to have no problem with people recognizing her.
Plus, when she kissed Superman on international TV as he was about to go save the world that probably made her the most recognized woman on earth. So dating Lex really could not increase her face recognition.
On another note, I guess I was wrong. Lois did a lot more with Clark than with Jimbo. I think I meant to say "Lois, you didn't do anything with Clark that you didn't also do with Jimbo". That would have been correct.
