It doesn’t matter whether or not you understand how a fuel combustion engine works – if you turn the key in a car, it’ll most likely start. You don’t need to know formulae to understand Newton’s laws – if it goes up, it’s going to come down.
But there are mechanics – who better know how that engine works. We have physicists who study, teach, or experiment. Just because the general public doesn’t need to know the specific of something doesn’t mean that there shouldn’t be those who do. Specialists fill a vital role in the world, providing indispensable expertise and insight into complex problems. Their knowledge is essential for the development of new technologies, and for the advancement of society as a whole.
And that is the main reason to specialize. In something.