It is difficult to separate the art from the artist. In the same way a person that is really into cars, wants to know all the nuances of the engine, people are interested in the artists inner workings and motivations. Years ago I read "The Secret Life of Salvador Dali". It was fascinating to go to the museum and see the influence of childhood experiences, his relationship with his father, or most importantly, his relationship with Gala in the art.
Mr. Page has chosen to be vague about his personal life. That is his right. I'm sure his children appreciate that. Not so sure about the women in his life. I can't imagine my husband not wearing a wedding band. I'd be devastated if I ever heard my significant other, married or not, say he was single but still has friends.
Ironically,the more secretive he is, the more people crave to know more.