All youngsters are like that. They want to carry the heaviest bundle. They want to open the biggest door. I think we often under-estimate what children can do. I know children almost always over -estimate what they can do.
Young children love water jobs, for example, and gushy-mushy jobs.
Children often want to water the garden and water the bushes, and that can mean drowning every plant in sight. When they do a job you often have to come along after them to put on the finishing touches and to give some final licks. Child labor isn't always a great boon to you, but child labor is always a great boon for a child. Every youngster who carries some responsibilities around the house gains from the experience. The child who does some jobs feels more a part of the family - and that is very important.