It's not that bad in theory, but it's true that modern "no homework!", "no boring practice!" etc directions have done a lot of damage during last decades. But it answers quite well to common complaints why we are still learn to solve quadratic function in school although almost nobody uses it later in their lives? It's because quadratic function is a simplest way to lay a foundation to understand a tons of broad theoretical concepts about functions – turning points, zeros, decreasing, increasing, symmetry etc.
I'd generalize this even further. Math, especially higher level math, often turns into a sort of puzzle. And solving quadratic equations is the first step going from learning how to execute basic arithmetic to using it in the process of solving a puzzle.
The fact that these puzzles can then be used to do cool things is almost just a fortunate coincidence.