Yes I am on the opinion that all children should be given formal education because even the trade you will teach the child, he or she will need good education for excel. Education for good communication and education for calculating so education is much more important in every aspect of human life.
That's true you need to also have some level of education to learn faster in the skill job. I think both education and skill should be learnt like I earlier said. It is not good to leave out one for the other. In fact, every person is suppose to have a skill apart from their education and that will make you balance because you can also find yourself in a situation where your education is failing you to get office job, then you can switch to skill job.