...isn't hate, it's indifference.
When my kids are grounded, it's a punishment for me too. This morning Austin, who is grounded, made himself French toast for breakfast and was eating it in the kitchen. I tried to talk to him, but the only responses I got were "oh". So I stopped trying. And there was painful (to me) silence as I worked and he ate.
This is exactly the kind of thing that can color my whole day, because somehow it goes from healthy thinking (my kid is unhappy that he's grounded, he's not a morning person, he's not very happy with me right now) to more global thinking (nobody wants to talk to me, nobody likes me, I have no value). The reason I'm writing it here is that getting it out of my head helps.