Oh, no, Jason and Babs meeting would make sense. And also she's a girl, she doesn't count.
I think it's because everyone realizes that Babs vs Jason would end with Jason looking extremely stupid or extremely bad, or both. And if the meeting went at all in character, extremely pwned. It's a little hard to go all 'but he didn't avenge meeeee' to, well, Babs. I read a fic once where Jason told either Dick or Bruce, I don't remember, that he hadn't gone to see Babs because even he wasn't enough of a jerk to brag about getting a second chance at life to her.
He probably knows she's Oracle. He's got good info, after all.