It lets you run faster.
Long muscles contract and relax more dynamically than short ones.
Show me a guy who can barely touch his knees and I'll show you a guy with a crap stride, crap style and times to match.
Nothing to do with avoiding injuries.
If you read that article, it suggests that your flexibility is genetic and actually trying to lengthen your muscles beyond their natural flexibility could lead to injury. A runner, for example just needs to be flexible enough to perform their activity, and that doesn't require stretching to achieve.
It suggests a good active warm-up is far better than stretching. Once you are warmed up, your muscles are effectively stretched for that activity anyway, so stretching further, whether it be part way round, or at the end of a run, could result in over stretching, leading to injury.