He's accused of it in jest, despite the underlying seriousness of forgetting to do basic things like eating and sleeping, accompanied by a warm chuckle. Cat, at the very least, wouldn't forget — she was just too busy to actually make a point to go retrieve food herself. Hence why Kara spent a good portion of her time as Cat's assistant going on food runs. And picking up her dry cleaning, scheduling appointments, delegating orders to 'lesser' employees...
She could handle reminding Bruce Wayne to go take a nap. And could pick him up and deposit him in his bed should he refuse.
A nod. "Of course I do. Krypton was my home for the first thirteen years of my life."