It seems very improbable that a kid would ask that question without having any preconceived notion whatsoever of a person with that name famously stepping foot on an extraterrestrial body. It's overwhelmingly likely that they have the famous 1969 event in mind, and that's why Google's response is appropriate.
Of course I'm not disputing that it wouldn't be even better for the Google response to explicitly correct the mistake in the query. I'm only disputing the fact that it's "broken." If you were asking this question of a human as some sort of test (but the human didn't know they were being tested), it would clearly be a "gotcha," and you could likely "fool" highly educated people who know full well that it was the Moon and not Mars.