It was Tom Lehrer who derided New Math way back when: “It’s so very simple that only a child can do it.”
I was recently looking at AMSCO’s Geometry — better than many in terms of presentation. Very little clutter. But even AMSCO has word problems like this: “Amy said that if the radius of a circular cylinder were doubled and the height decreased by one-half, the volume of the cylinder would remain unchanged. Do you agree with Amy? Explain why or why not.” There is no reason to bring Amy into this; Amy’s presence does nothing for the problem. Also, turning this into a matter of opinion (“do you agree or disagree”) confuses the matter. Instead, the student should be asked whether the statement is correct or incorrect.
Then again, this might hurt the student’s feelings. Or Amy’s.