All indications are that the finish is very resilient and resistant to scratches. As Shinigami301 stated, the "rub" is that, while the DLC coating is very tough, the 316L stainless isn't the hardest substance in the world. So, if you gouge the stainless, the DLC may be gouged out with the underlying material.
I've been trying to come up with a good analogy - the closest I've come is a hard boiled egg. The DLC is like the shell, the egg the stainless steel (obviously, not a great analogy as 316L SS is still quite strong). Also, the DLC is very much bonded to the metal, not hanging loose like an egg shell.
With the exception of the peeling issue reported by a couple of people as well as the one potential gouging reported here, everyone's reported that the watches are very durable and keeping their like new appearance.
So, no, it's not prone to the micro-scratches the regular SS watches are, but it can still be damaged.