He really, really should. It's a good thing she is so drugged because it hasn't really occurred to her that he hasn't changed. He can do that after she drifts off to sleep, which is riiiight about now.

Happily for her, all she's expected to say to the press is effectively "not dead yet" while people ask appropriate sympathetic-sounding questions. It doesn't take long to get through, after which she is free to go to Wayne Manor and be in pain in the comfort of her own room. And pester Bruce for information. "Do we know anything new?"

(It's too early for the no really I'm okay enough to do the thing/no really you're not wars, but, much like winter, they're coming.)