haven't seen the fancam of LMH's concert, but I think what LMH was saying was not really about his real life ideal girl. While backreading, I read that it was the MC who added the "born in June" category, while LMH said the rest. When I think about it, I think it's a game in the concert, where LMH selected a girl in the audience who matched those categories to come up on stage. He narrowed the choices to these 5 categories (or more). He maybe actually narrowed the category to a girl in his audience who's still keeps a previously used movie ticket on her wallet.
I think I saw a picture in the previous pages where a girl wearing a white shirt, heels, and has long hair was standing between him and the MC. Oh here it is. From LMH's soompi thread.
I am agreed with you.. it's only to selected one fan to get his autograph..