DHs exW has three children aged 8,7 and 2. The eldest are DHs. The 7 yr old is very much mums favourite and can do no wrong - she is massively spoilt and doesn't have to share with her siblings or be nice to them at home. She clashes with her 8 yr old because, quite frankly, she is horrible to him and demands all attention on her. He is very passive but will occasionally hit or push back.
Their nan is very much involved in their upbringing and every weekend DH and I don't have the children, either the 7 yr old or the two other children are sent to their nans - meaning the 7 yr old is mostly always alone with mum or nan with all attention on her. She has said this happens to 'give her a break' as she doesn't like her siblings and her mum and nan understand this 
Now most times we're due to have the DC, one or the other doesn't want to come. It seems this is because they don't want to be with each other rather than because they don't want to see us. AIBU to think that siblings should be helped to get along rather than segregated? The 7 yr old often asks me to take her off away from her brother but I (and DH) think time together rather than more time apart is the answer.