He wasn't running away! If Riku knew that the Prince was entertaining such ideas, he's be upset and a bit offended. Did he not love the Prince? Did he not tell him so often that he wished nothing more than the spend the rest of his life with him? Why did the Prince so doubt his love?
Riku sighed a little and leaned his head on the door. "Alright. I'll keep your tea warm." It was all he could think of doing. So he covered both tea and soup and relocated to the table with some lesson work that the Lady Princess had given him to do. He'd just wait for the Prince to come out so that they could talk.