No that's bullshit. I had the same type of parents and as a result I never had any privacy to myself, ever.
Spend more than an hour in my room? They're knocking on the door, wondering what I'm "up to". "Why are you on the computer all day?" "You better not be looking at porn!" "Why are you reading that Wikipedia article?" "You can't play StarCraft; it has the word 'craft' in it, which means witchcraft". One time my dad even printed out my browser history and read it during family dinner.
To this day I still have a mild anxiety attack every time I hear someone say something that sounds even remotely like my name in public, and I'm 34.
Trust me, you don't want to be raised by helicopter parents. It traumatizes you for life. I know I'm not explaining this adequately enough for someone who didn't grow up this way to understand just how bad it is to never have any privacy or time to yourself, especially when you're an introvert like me. I don't think I ever can explain it, so you'll have to just trust me when I say I'm still fucked up over being raised by parents who care too much.