I would add that mental health definitely has an impact on physical health, but that the reverse is also true: physical health has an influence on mental health. Another point worth making is that the mental health of parents also has an impact on the mental health of their children.
As for psychological health, children and adolescents who are not doing as well, or who are less active, will suffer more from problems of obesity and too much screen time. Behavioural and emotional problems in children inevitably lead to distress for parents. Exhausted parents are also less likely to be proactive about doing something to adopt healthy sleep and diet habits for themselves and their children. It's all highly interrelated.
Nor should chronically ill patients be underestimated. It's often been said that mental health has an impact on physical health. Chronically ill patients experience distress and their children don't have a normal adolescence. This can generate considerable psychological distress.
And the social and emotional aspect mustn't be forgotten. It's been shown that having a less caring family network, in which emotional ties are limited, with signs of attachment disorder, automatically has a harmful effect on children's height and weight.
All these parameters are interrelated. Earlier, we were talking about brain plasticity and development. That's why the psychological health of parents ought not to be underestimated. From very early on, in the first few weeks of life, the parents' psychological health has an impact on their child's physical and emotional development.