Reason #2 to move homework out of the home:
In addition to the association that your child has made that home is the place to unplug from academics, home is also filled with tons of competing distractions (screens, friends, etc). Moving homework out of the home eliminates access to these distractions.
As an adult with a fully-formed brain, even I have to leave my house if I want to be productive. At home, there is always something else to do - cleaning, playing with the dogs, watching Netflix, etc. The still-developing brains of children and teens lack the full ability to anticipate long-term consequences of behavior. For a child with learning or attention disabilities, this effect is magnified. Asking a mentally exhausted child to forgo the temptations of the many distractions of home that are available RIGHT NOW in favor of more schoolwork (with some abstract consequences that occur sometime later), is a tall order.
If you were trying to eat healthfully, would you stock up on junk food? Of course not! If your regular drive took you past a doughnut shop (you know the one...you can smell it blocks away and it may even have a brightly flashing sign alerting you when freshly-baked, hot doughnuts are ready NOW) you might alter your route. By limiting access, you eliminate the need to have to overcome temptation.
Moving homework out of the home accomplishes this for your child. We are not asking them to engage in the monumentally taxing task of resisting temptation, because the temptation is not there.