I mean, if the daughter is over 18, then I guess she could be confused with your date somehow. I don't think even an idiot would think someone half his height is his date.
The billboard is to raise awareness as well as let those people know that they have a problem and need to turn themselves in or that they need to stop drinking if they have a child and wondered about such a thing (without doing anything yet of course).
Being on a date with someone doesn't entitle you to sex nowadays, does it? Forgive me, as I'm a bit rusty when it comes to that whole scene.