I always thought this seemed off a bit. Either OOC or a complete desperation move on Babs' part. In fact, it's probably one of Barbara's worst moments EVER - in which she would trash the life of the hero (and his wife) to protect herself - and from what? If she had ever gone through with her bluff to put that photo on the web her credit with the rest of the super-hero community would have gone to zero overnight, she would have been finished - even with (dare I say it) Dinah, Dick and especially Bruce. Superman is the one they all look up to. You do not threaten Superman - ever. You do not try to blackmail Lois Lane (who has most heroes on speed-dial) - ever. Protecting "Oracle" would have been worthless to her if she had gone through with it.
Like I said this is one of Barbara's worst moments - and one of Lois's best. I could easily have seen Lois threaten right back (LL does NOT like being threatened - and no one threatens her man) and Lois would have much more ammunition. But Lois was come through it all, didn't even blink.