So when skinning wasn't a part of the 3 known gathering classes, what did you think was happening? there was a hidden skinning mechanic nobody was mentioning? The main thing I can think of telling you is that if it isn't listed or mentioned, it's likely not a thing in FFXIV.
Your best bet for farming MOB drops is having a retainer of adequate job level on one of the WAR/MAGIC jobs. They can do ventures for nearly any crafting mat an overworld monster drops.