To elaborate a bit: your parenting is much more likely to affect how your kids parent their kids. And, for better or for worse, mostly what they'll be doing is avoiding the mistakes you made. Your mom was distant and judgmental? You'll be super attentive and supportive, assuming your kids need what you wanted. And quite likely you'll overshoot the mark and set up a pitfall your kids will avoid when it's their turn. And they will then overshoot the mark. The cycle of parenting. Hakuna Matata.

Is this anecdata/personal folklore/"common sense" or is this based on science? It sounds like the former, tbh. Things tend to be more complex than this.