I don’t know why but I never really thought about it in depth. I spent more time imagining what the post-RotJ galaxy would be like. What would the Jedi Order come to look like? Would Han and Leia have a child, multiple children or no children? How would the New Republic deal with the remnants of the Empire and how would the new Jedi Order fit into that effort? I asked these and more questions and spent a lot of time thinking of answers.
As far as the BBY time period, Kenobi’s reference to his friendship with Luke’s father was pretty much enough for me. I accepted that they were good friends just like my childhood friends and now Vader is the bad guy. As far as the Clone Wars references, I think I just imagined some long-past war spanning multiple planets in which lots of Jedi fought. I don’t think I even considered who the actual participants were.