A parent of mine was also a teacher, and other than grading their student's 9th grade math exams when I was in elementary school, I was on my own for most of my learning.
So I agree that yes, just having a parent who is a teacher doesn't necessarily get you much, outside of likely being in a home environment where school is deemed important (many don't have this unfortunately). But where things become slightly magical is when you have a genetically gifted child and a parent that both knows how to guide that genius and has the resources to do so.
Yeah, and can be worse if they are arrogant and thinks they know everything about teaching. That’s why I said characteristics is important.