I didn't see anything from the side of parents who want more homework. Why are some parents asking for more? Are their children misbehaving? Are their children not learning the material? I am guessing that homework doesn't automatically make up for a school's or teachers' shortcomings.
I've seen parents argue for more homework so that homework would make up a larger percentage of the students grade in an attempt to make up for the fact that their child is a "Bad test taker". It always bothered me because a grade should reflect the percentage of the material you actually learned. Not be just an accounting of how many hours you spent trying to learn it.
Well, the argument in those cases is that tests aren't always a reliable indicator of the material being learned. Speaking from my experience, I was a great test taker in high school, and they rarely indicated my actual knowledge of the material. It's not hard for me to imagine plenty of students having the opposite problem.