Quadratic curves get very "pointy" with increased curvature, so you're trading "easy to draw a single smooth curve" (fairly meaningless in vector work) for "a g

Quadratic curves get very "pointy" with increased curvature, so you're trading "easy to draw a single smooth curve" (fairly meaningless in vector work) for "a genuine hassle to line up the consecutive curves that you'll need for more complex curve shapes" (pretty much the meat of vector work). Of course, I say "complex" but and those aren't actually all that complex at all: you'll already need two quadratic curves just for a quarter circle (and by extension any quarter ellipse), for instance. While it sounds appealing, once you can actually draw quadratic curves you end up needing so many of them that refining your shapes (which takes up the majority of time for curve work if you're playing human data processor) becomes an incredibly hard job. The most obvious example of a common technology that uses quadratics is OpenType fonts with TrueType outlines, which only uses straight lines and quadratic Bezier curves, although most tools I know of will give you cubics there, too, and simply save to a correct quadratic representation upon export/font generation. Outside of those, you can use visual programming languages like Processing for your own purposes if you absolutely need them.