I think the second statement is only slightly true due not to possession or something like that, but the fact that if you have ever dealt with a woman who is very attached to her first (or most recent) love it is tough. You have a set of things to live down that were never your fault but you still have to deal with.
So sometimes it seems that a woman never loves a man as much as she does her first love. In this context, i would agree. But obviously not all women are like this...