A bit of constructive criticism is not a bad thing ... It's even a good thing.
As both a parent & a person with people I'm responsible for there shouldn't be a "picking corner".
When I note a point to one of my people ant criticize part of their work I'm still in their corner, if I wasn't I'd just not invest time in them ...
So to answer your question, my parents have always supported me, but that doesn't mean they agreed with all I did.