I speak not just as someone who has experienced a perfectionist mom, but as someone who is still in a quite active situation. I'm only halfway through college, so I'm in transition between being dependent on my parents and learning to support myself.
I had a perfectly happy childhood--I could pursue and succeed at my own hobbies, I was naturally successful in school, and through that freedom I could choose to respect and connect with my parents. Aside from displaying a strong will, I came off essentially as a "perfect child." Then I started to grow up. The bar continued to rise, and I was still, in the background, expected to achieve everything on my own. I had difficulties transitioning into middle school, which became evident in my grades and my attitude to homework. But when faced with this, my mom simply stated that we all knew I could do better. I would face consequences if my grades were below a certain level (*disclaimer* there were no physical threats or anything legally questionable; i was faced with the typical no-tv, no-computer, no-friends-over, etc.). The point was made. I didn't want to face consequences regardless of what they were, so I made it my mission to show my best. Within a year, I was making straight A's. And all the while, the bar continued to rise. By the end of high school, I would push myself beyond physical limits to be academically successful, because that's what it took to keep my hobbies. Any problems I came across were a result of something I was doing wrong and needed to fix. My most passionate activities (namely theatre) were not predictable enough to be a worthy career, in my mom's opinion. Everything that I was starting to decide on my own was wrong somehow.
I'm honestly scared for Annie in particular, after some of what she said on the show. "I'm always nervous" is a phrase that I've lived with for at least six years now. Early this year, I was diagnosed with panic/anxiety disorder, and my counselor recommends that I get evaluated for ADHD. Perfectionism is an issue I have to battle with in my own minset every day. A parent who wants their child to live up to an image they have set forth doesn't just not allow for stumbling blocks that require real help. Sometimes they can create them. And once that child is out on their own those issues become a lot harder to combat. I know, because I'm living it right now.