Kunikida isn't used to relaxing. He feels responsible for so much, it's almost impossible, leaving him perpetually at wit's end. However, during the rare times he gets a day off, where he doesn't even have any errands to run, he can just truly relax.
"Hm? No, just go back to what you were doing."
He just likes to be near you. Even with all of his professionalism, he's only human (and honestly sort of clingy) and just wants to rest in the way he prefers—hugging you from behind and watching you cook. It's only about 11:45, so you're getting started on making some lunch, and it's nice to cook anyway. But as always, you have a certain blonde man over your shoulder watching you. Not in a creepy way!
"I'm only watching."
More in a tired, attachment— both physically and emotionally way. In his defense, he isn't used to being so domestic. And what better way to do it than by staying by your side even at home?