I know there will be responses along the lines of that was just your parents, not because they were teachers, but I do think there can be a few particular ‘themes’ for want of a better word to having teachers for parents.
There was a lot of pressure for my brother and I to behave well at school. My brother got a detention in Y8 for forgetting his cooking ingredients and my mum went absolutely berserk. Even really minor things were a big deal.
They always backed the teacher. I did find out some years later there were times they were concerned and disagreed with what had happened in school but they didn’t communicate this to me. I do understand why but it made me feel in the wrong.
Of course, they couldn’t be there at sports days and so on. I didn’t really mind this though as in primary school I was quite proud of having teacher parents. This changed in secondary 
VERY pushy with schoolwork: too much so really. On the other hand, they were very encouraging with reading and we went on a few interesting holidays.
How did others find it? Interested as I am a teacher myself now although DH isn’t so hoping for more of a balance 