children have to be on duty at school, so why don't they want to move at home at all?
Parents who find jobs for their children are definitely not good parents. Children trained by good parents will take the initiative to help them do what they can. There is no should or not, but mutual love. Children feel sorry for their parents' hard work and will help. Parents feel sorry for their children's tired study and will try their best to finish it themselves.
Generally speaking, children do 1/4 of the housework that parents do, which is more appropriate.
If parents give their children all the housework and are happy to be free, they will treat their children as free child laborers, which is their laziness and selfishness.
A good family atmosphere is very important, with love and harmony.