My aunt spent a long time working in education in the USA, much of it in leadership roles. When she incorporated lessons on critical thinking into the curriculum, it resulted in a lot of pushback from parents who did not appreciate their kids applying the lessons at home.
People who actively resist the use of critical thinking will seem cognitively impaired because they are, in fact intentionally impairing their cognition. My intuition here is to blame religious fundamentalism, but that’s not a well-researched position.
I’m not sure what “safe” or “mostly private” means to you in this context. The Vodafone filtering proxy might stop you from visiting some websites that host malware.