Wrong. Critical pedagogy is about indoctrination and propagandization of education. The central defining tenant of it is All education is political indoctrination. That is what it's creator, Paulo Freire stated. It is supposed to do this through making the student critically conscious. From that beginning it has been adopted by Marxists--the hardcore sort--internationally as a means to radicalize and mobilize students into radical Leftist thinking and action.
In the US, the primary early adopters and the ones who spread it through universities are "academics" like Peter McLaren (UCLA), Bell Hooks (USC and others), Antonia Darder (Loyola and Univ of Chicago), Henry Giroux (Boston College, Univ of Penn). They, and other adherents are all dedicated Marxists. They all teach in colleges of education at their respective universities or related fields.
Critical pedagogy has nothing to do with teaching actual critical thinking skills and everything to do with radicalizing the student into being a good Leftist and Marxist.