She's in her Pulitzer Prize do anything for the truth mode.
Yes, she is, which makes no sense (since she knows, coming in, that Babs is a white hat, and obviously already has all the truth she needs), and which is certainly not conducive to sitting down and having a nice amicable dinner as you suggested in your first comment. Either she's on the offensive with Babs or she's not, and the dialog and art says she is. Characterization should demand that she isn't, but that doesn't change what's on the page.
And Babs never once seems to even consider that Superman's wife might not be her enemy, which a) again, speaks further to Lois being on the attack, here, and b) is absurd, no matter how off her game Babs is she should never be dumber than a six-year-old child, and any six-year-old could tell you Superman's wife is a friend to good guys.