Susie, I know where you are coming from, and I agree with you, but with the "right" kind of kid, you are setting yourself up up for estrangement as soon as that kid is out from under your roof.
Trust goes both ways, and a child who knows their parents don't trust them, can turn out to be a child who doesn't trust their parents.
I pre-date modern tech like cellphones and the WWW by many years, but when I was a child, my family enrolled the family in counseling and me in individual counseling. I was assured that the individual counseling was my "safe place" to talk about what was bothering me, and talk I did.
Only to find that, to the great damage to my family bond, my counselor was relaying everything I said back to my parents, who were NOT happy.
I STILL, 40 years later, cannot completely trust a therapist. Not only that, I lost trust in my parents, an issue which remains to this day.