you are correct, DLC's are not the same... but imho the best DLC's are based on TiN and TiCN, if you want to go down this rabbit hole read here:
https://en.wikipedia.org/wiki/Titanium_nitride
down part of the way you'll see this section:
There are several commercially used variants of TiN that have been developed since 2010, such as titanium carbon nitride (TiCN),
titanium aluminium nitride (TiAlN or AlTiN), and titanium aluminum carbon nitride, which may be used individually or in alternating layers with TiN. These coatings offer similar or superior enhancements in corrosion resistance and hardness, and additional colors ranging from light gray to nearly black, to a dark
iridescent bluish-purple depending on the exact process of application. These coatings are becoming common on sporting goods, particularly
knives and
handguns, where they are used for both cosmetic and functional reasons.