I can see Lois acting exactly the same way if she actually knew those guys' secret identities, trying to throw Cat off the scent. Though I guess if she was doing that, she might claim that she had seen Clark and Superman at the same time to cement the idea that they're different people.

"It is a remarkable dichotomy. In many ways, Clark is the most human of us all. Then...he shoots fire from the skies, and it is difficult not to think of him as a god. And how fortunate we all are that it does not occur to him." -Batman (in Superman/Batman #3 by Jeph Loeb)