Homework does adversely affect many children in primary, including many well supported children. Just read the thread.
Given that well-supported children can do work at home without homework being given to all children, and given that homework adversely affects many children, and given that homework is often relied upon to instil the basics, it is hard to support a blanket homework policy.
Teachers should look at what they are giving as homework. If it is pointless (draw all the bugs in your garden), drop it. If it is pointful (learn your 4x table) it should be done in school.
If you are keen and committed, then you can read harder books with your children, practice the million times table, give them harder maths and spelling, work on home projects.
Keep it to yourselves, give your children a leg up.
To support a system which fails so many children guarantees that your, legged-up children, will still pay the price. They will pay the price when they are older, and have great jobs, and have to pay for an ever growing underclass of the ill-educated.
If that's what you want, I can't change that.