It's an interesting observation, but my personal experiences don't support it. I'm definitely an iNtuitive, but my family life sucked growing up. It was neither loving nor stable and I spent much of my younger years analyzing my mother's behavior to try to figure out why she behaved the way she did. I was always conflicted between compassion for her because of the understanding that came from those efforts and a profound anger over the damage she was doing to herself, my siblings, and me. The latter then made me feel guilty, which just made me angrier and more frustrated...it was kind of vicious internal cycle.
But your post does go to the heart of what fascinates me most about MBTI, and that's the why of it all. It's fun to ponder. Is the development of your functions all pre-determined or do environmental factors decide it? Or is it a combination of both? Is it your earliest experiences that determine your "type", or do you have an inherent type that determines how you react to those earliest experiences? I've been putting a great deal of thought into those questions since discovering MBTI, but I still can't make up my mind about it. I'm leaning towards it being some kind of combination, as in you have certain inherent tendencies that environmental factors can influence to varying degrees. And the effect particular experiences have on particular natural tendencies ultimately determines the hierarchy of your functions, and how dominant each is over its alternative.
I'll probably be thinking about this more in-depth during my hike today now, which will make it much more fun, so thanks for the inspiration =)