Yes, it definitely affects the child at home. Although the victim definitely goes through a lot of pain; the impact of being a witness of abuse affects the child in many ways.
The child might be the perpetrator of the crime to their partner in the future if they do not get the required help. Children who are witnesses of abuse tend to do the same to their future partners more than other children.
Abuse sets a wrong example. Some children might think this behavior is normal, while some might have no hope. With the required support, one can get through this. It not only affects children but also growing young adults. By witnessing this behavior, they often act out in certain ways because it traumatized them. It often affects their social life and the way they act around others.
People need to think before they lay a hand on anyone. Firstly, they need to think if the person they’re going to abuse actually requires this. No, they definitely do not. There is no justification for abuse. This is what happens when you are a witness of domestic abuse. They also need to think of their kids if they have any, because children often mimic behavior which they learn from adults, mostly their parents.
If people learnt to respect people more and just get out of relationships which wouldn’t work out instead of abusing them, it would be good. And to watch what they’re doing around their children because it impacts them, both indirectly and directly