I really dislike contentless critical thinking. In other words, the idea that critical thinking can be developed in a formalistic way, without reference to any particular content. It doesn't matter what you're discussing, only the forms of the argument.
My problem is that eventually this kind of contentlessness can only go so far. I do believe these skills are transferable from one sphere to another, but truly intellectual thought needs some meat or it will degenerate into low level college dorm bullshit. You have to know things.