Its not pleasant to read or hear that, it is in many ways normal. Even when both parents are together kids play them off against each other. Its generally a good cop/bad cop scenario depending on the situation. I know it wont bring you comfort, but my 6 year old said to me the other day, i dont care about you, papa is the only important person to me. I mean did it sting….yes….and in that moment he probably felt it. He later apologised and said its not true. But nonetheless when they are upset they will say things and in that moment they do feel those emotions. Naturally you want to rectify the situation and as tempting as it is, its also important to have discipline at home and enforce it with the kids.