Gonna admit, I didn't read all the replies. But, what it ultimately comes down to is the fact that the program was lost when the information from the Binars was purged from the Enterprise computer. I mean...it is Star Trek however, almost anything is possible. Riker could have gone back to Bynaus in the future and discovered that the Minuet had been downloaded into their mainframe on the planet. But, that is highly unlikely. The first response of a man from 2364 (not 2404 when we know canonically that marriages between holograms and humans take place) would be that it had to be a deception. Not to mention the fact that he seemed to have a child that was biologically related not only to him, but to Minuet. So, it makes sense that when combined with all of the other issues he would finally see through the deception with this one fact.