Not disagreeing with you. But two complementary points:
The other ill of much of high-school and some engineering math teaching is not having adequate focus on "how to apply" the math in modeling real world problems. That, in turn, exacerbates further stages of learning the deeper "why" questions.
Besides, "getting used to" part is apparently inescapable, at least at some point. After all, as great a mathematician as John von Neumann said "Young man, in mathematics you don't understand things. You just get used to them."