Its funny but I was just thinking about this very thing....only in reverse.
My parents were baptized the year before I was born, and no other relatives JWs. We always kept a good relationship with nonJW family, my childhood was great, and I was close with my parents. My dad was inactive for a couple years when I was young, but later returned to JW activity. We always did a lot of fun things as a family and my parents organized lots of social events. They really did give us presents throughout the year and even made up our own family traditions and celebrations. They always encouraged us with school and even higher education. My parents were very much partners in marriage and child rearing, so I never really saw the nasty side of headship. Though my father became an elder, he was one of the "mercy" guys. I feel like my parents put their own spin and moderation on some of the crazier and more polarizing aspects of the"truth". We were also very insulated from any negative things with other witnesses.
So I came to the conclusion that the only reason for my "warm fuzzy feelings" about the JWs, was actually just family love and good parenting. There is no doubt in my mind that my parents would have been the same good and loving parents regardless of being JWs.
Living life as an adult JW has been eye opening and truly saddening....so to the OP I would say in my experience, yes, parenting blurred the lines...but in a different way.