My heart is actually broken for the poor child. Sarah can look at this and laugh because shes upset one of her 'trolls' but trust me its come from the heart. My dad would give us treats and tell we we're amazing if he wasn't craving a drink but the minute he wanted to get drunk we were the worst in the world, we drove him to it and we woukd try to move heaven and earth to make him feel better, not realising that he had a problem.
I'm not saying Sarah is an alcoholic but there's definitely something going on with her if she's making that poor child apologise for being a child, they definitely test you but that's what you take on when you become a parent, of course discipline them when they are being obnoxious and try your best to mould them to become a responsible adult but DON'T make them feel responsible for your moods, they are only kids and they have no comprehension of the consequences of their actions on your moods.
Sarah can ignore this all she want but poor Luke will feel the effects of this for years, hopefully it's rare enough that he won't have lasting damage but Sarah doesn't care because it's all about her