No, I think people would be much more inclined to open books if they didn't have to be associated with homework.

How? You have literally no evidence. At least support your assertions with reason.

Homework is busywork, and it doesn't help learning. It reduces students' time to learn, and serves no purpose in a learning environment. It never introduces new material. It certainly never enthuses anyone to do more. Too many detrimental effects, and practically no useful ones.

Homework is busywork 90% of the time. It only ever reiterates what was gone over in class, so it can never teach anyone anything new. Homework grades don't come close to representing knowledge, intelligence, or any other meaningful representation of a student's mental abilities.

Sometimes homework isn't even relevant to the class. How many times have you been handed a word search as a homework assignment? There's no point to that! It's busywork! It's a trick to get the administration to believe that the students are actually learning something!

Not only that, but homework never changes. I was walking through the third-grade corridor recently, and they had pinned up worksheets exemplifying the commutative property. This would be okay, but that's literally the same stuff that had been covered that very day in Algebra 1! SIX YEARS LATER! That's a problem. Spiral review, they call it, because you go over the same stuff, but adding to it each time. That 'spiral' looks a whole lot like a circle! I bet I could give my fifth grade brother my Algebra 1 homework, and he'd do better than half the kids in my class!

In summary, not only is homework irrelevant and unnecessary, but it serves only a detrimental purpose in schools, that of making students think they loathe learning, when they really only loathe school.