"Have you ever read a book that, at the time, you didn’t feel a strong connection towards, but as time goes by you find yourself thinking about it a lot?"
I can't think of a specific book, but I'm sure it has happened.
Before I had children, I didn't necessarily connect to books where the main characters had children. Especially romances. I wanted all the romances to be where the characters in the books were their first loves. I now understand how having children changes everything.
At one time, I also didn't connect with books where the characters were already married and encountering conflict. Again I wanted to read about falling in love for the first time... I now understand that life doesn't end when you say "I Do", and sometimes "happily-ever-after" takes a good bit of work!
So, I guess as my life changes and my view point changes, I'll connect with different types of books and plots.