Han ate slowly and pretended to savor the food—because what else was he supposed to do when some Lady came out of nowhere and wanted him to leave with her? He was buying himself some time and deciding on what to do. He really could come with her and maybe convince the Crowel House to get him a tutor and perhaps do some solo-leveling.
The idea of an extravagant life in this world offered itself to him, and it was easy enough to get caught in the reverie.
Except Han was pretty sure that he was not related to this woman. He might have been willing to fall into a delusion—but he experienced no Class change. The Class he still held with him was Peasant and it hadn't changed even when the Lady said he was related to her. That meant that she was wrong in her assessment when she first saw him.
The same would occur for the old man that chased him down.
What had made them think otherwise?
Did I pull in a 'Solo Leveling' reference? Yes. Yes, I did. Perhaps that is all the chapter was meant to be in the first place lol.