You would need to simplify, but so the councellors are limited too. And you have an advantage that you can focus on your child better and your child is closer to you. Power of truth is also on your side. As child gets older the more you can teach.
The most tricky and hard thing is how to teach child to preserve some respect for the school and teachers. Also child needs to be able to hide his views and insights. This problem was faced by the non-brainwashed people under Communism of Fascism - some solved it succesfully some did not. Such is life.