First the explanation for why Rey is a Skywalker is way too complicated. Telling that story as detailed in the original post would totally confuse the audience. Second This is way too obvious, Abrams likes to mislead. Third Abrams this is a quote from Abrams:
"And there I am sitting in the theater at almost 11 years old and that was a powerful notion. And I think this is what your point was, we would like to believe that when shit gets serious, that you could harness that Force I was told surrounds not just some of us but every living thing. And so, I really feel like the assumption that any character needs to have inherited a certain number of midi-chlorians or needs to be part of a bloodline, it’s not that I don’t believe that as part of the canon, I’m just saying that at 11 years old, that wasn’t where my heart was. And so I respect and adhere to the canon but I also say that the Force has always seemed to me to be more inclusive and stronger than that."
Do do you really believe that someone who believed this way all his life about Star Wars would have Rey be Luke's daughter?