The Fine Article doesn't really go into how we're doing it wrong, beyond a passing mention of barefoot running, and some dissing of treadmills (which is hyperbolic and orthogonal to reality; you can run "correctly" or "badly" on a treadmill or on the street or trail). I used to run a bit. Did an informal "couch to 5k" over a couple of months, before I'd even discovered that was a thing. The single most effective thin…
There's more to it than that. Please make sure that you are pushing off with your heel. Many people assume that barefoot running is the same as running on the balls of your feet, but if, after your toes touch, you aren't subsequently landing and pushing off with your heel, you are likely to injure yourself, and more seriously than if you didn't barefoot run at all. The small, delicate toes in the forefoot are not meant to handle the load of landing and takeoff.
FYI: This movement doesn't feel natural or normal for most people until they have tried it a bunch - the muscles and flexibility for it aren't there. It took me about six weeks of practice, but I was not a particularly frequent runner - mostly because of the knee pain of running 'normally'. The pain was eliminated by running barefoot instead.