I generally agree with what you're saying and the first half of your answer makes perfect sense but I think the second is unfair (i.e. "[is it] easier to balance a barrel on a plank or a plank on a barrel"). It's a trick question and "it" tried to answer in good faith.

If you were to ask the same question of a real person and they replied with the exact same answer you could not conclude that person was not capable of "actual reasoning". It's a bit of witch-hunt question set to give you the conclusion you want.