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I agree with you, home is the first school for children to learn many things, including how to manage finances. Parents are the first teachers and role models, usually children will imitate whatever their parents do. As parents, when teaching children or telling them about something, we must be ready to answer their curiosity. Of course, every parent has a different approach in teaching their children, and I am sure every family has some kind of tradition that is passed down regarding how to manage finances.
I quite understand what you want to explain regarding tradition, but maintaining that tradition in a modern era like this is not very beneficial for the next generation. Many parents need to learn to change their own mindset before inserting it into their child's subconscious, including the right way to manage money.
I agree that parents are the first teachers of their children, so it is the parents' fault if their children fail to become financially independent when they are adults. Dependence on parents to meet the needs of life when children are adults should be avoided as much as possible, meaning parents need to teach their children to be independent from an early age.