I think everyone has come across parents like this. I was involved on a playgroup committee for a while, we had more than a few parents coming to us saying that Jack would need coaxed to put his coat on to go into the garden in winter, or that Katie would need her apples cut in a specific way or wouldn't eat them.
One particular mother let her child draw on the walls at home to express his creativity and was horrified when he was very sharply told off for trying the same at playgroup. She didn't like that he wasn't allowed to go first for everything. Didn't like that her child was disciplined for snatching toys from other children. Didn't like that her child was told that it really wasn't acceptable at snack time to pile his plate high with food he had no intention of eating, just so that nobody else can have it.
He was a FUCKING NIGHTMARE child and even at 3 and 4, none of the other kids wanted to play with him. Sam is mean, Sam hits me, Sam screams when he doesn't get his own way. I do wonder how Sam is coping now as a teenager by which time hopefully Sam will have realised that the world does not revolve around him. I think his mother is a lost cause.
Most of us have done the screaming child under the arm act. One memorable time DD was about 3, I needed to pick her brother up from school, she didn't fancy leaving the house and threw the most almighty tantrum. At school she was literally lying on the grass thrashing and screaming while I stood with my mum friends chatting and ignoring her.
I definitely wouldn't be going on holiday with your friend again @FrangipaniDeLaSqueegeeMop. Telling her WHY you aren't going again though is tricky. It could well be the end of the friendship as she is so blinkered when it comes to her daughter and will not want to change the way she parents her.