My response to that would be "for real critical thinking, you need memorization as a starting point. You can't think critically about the politics of the Middle East until you can point to Israel and Gaza on a map!"
Who's right? Are memorization and critical thinking complements, or substitutes?
This might have different answers in different fields. Like in maths, can you learn more advanced maths without a deep intuitive familiarity with numbers, the kind you get from being able to do arithmetic in your head? What about history? Can you get by without dates?