Alco:
Absolutely not. Absof***inglutely not.
High school curricula now are a waste of time for just about everybody involved, because people have exactly your mindset: "High school should be about rote memorization of exactly the facts I learned when I was in school, or an updated version of them." So students memorize all sorts of stupid details that won't be relevant to most of their lives.
What could be relevant to their lives is an actual appreciation for what science is, and how it works. What it means to think scientifically, and how to respond to media reports about what scientists are up to.
I don't care if you graduate from high school physics being a master at manipulating Maxwell's equations--if you don't have an appreciation for how they came about, and what it means to do science, your physics curriculum has failed you. (Of course, I think that there are some things--a basic grasp of the principles of Newtonian mechanics, a qualitative understanding of the laws of thermodynamics--that are more or less necessary to be culturally literate in a meaningful sense. But those can only come after an understanding of how science works.)
Philosophy, history, and method of science are not cool things to learn in grad school--they are the FUNDAMENTALS that ought to be introduced in elementary school.
Very much the same is true of mathematics, history, literature, music, whatever.
(By the way, the context of the word "myth" being used was a textbook. In an academic setting, "myth" means "religious creation story." If students have made it to that point in their academic lives without knowing that, they need to learn it.)