How important is the actual 'education' in elementary education versus the nurturing and developing social skills?

TO the best of my knowledge in its general sense is a form of learning in which the knowledge, skills, values, beliefs and habits of a group of people are transferred from one generation to the next through storytelling, discussion, teaching, training, and or research. Education may also include informal transmission of such information from one human being to another. Education frequently takes place under the guidance of others, but learners may also educate themselves (autodidactic learning).Any experience that has a formative effect on the way one thinks, feels, or acts may be considered educational.

Education is commonly and formally divided into stages such as preschool, primary school, secondary school and then college, university or apprenticeship. The science and art of how best to teach is called pedagogy.

A right to education has been recognized by some governments. At the global level, Article13 of the United Nations'1966 International Covenant on Economic, Social and Cultural Rights recognizes the right of everyone to an education.Although education is compulsory in most places up to a certain age, attendance at school often isn't, and a minority of parents choose home-schooling, sometimes with the assistance of modern electronic educational technology (also called e-learning). Education can take place in formal or informal settings.

Education must be integrated because we build the men and women of the future

They are equally important, and must develop hand in hand, not because they are important by their merits, but because one fosters the other. The relation is entangled.