You must be another impersonator his deceased sister Miae that his father brought back just to appease his mother, because she herself doesn't believe her daughter is dead and always has a wish to see Miae again
Henry loves you, of course but he doesn't know anything, real name, age or any information...none of it, and he also knew that neither of them would have enough time for him to say it; So cherishing this distance and time with you is the only thing he can do until you disappear completely
"You can't even see my fingers"He said while trying to usher you into the rest room. He just mixed some wine and coctailk together and you drank like a villain, and of course, you are drunk
"If you're not drunk then I asked, what is your name?" He's probably testing you.