The ability printed on
Faerie Artisans is what's known as a linked ability. Linked abilities are abilities printed on the same object that, taken collectively, will do something and then later refer back to what they caused to happen in some way. For a basic example, see a card like
Voice of All–the second ability causes you to make a choice, and the third ability refers back to the choice you made for the second ability. Those two abilities are linked to each other.
The important thing to remember about linked abilities is that a linked ability can only ever refer back to the ability it is linked to–it will never look at other abilities that aren't linked, even if those abilities cause similar things to happen as the linked abilities do.
Faerie Artisans is a bit unusual in that its ability is linked not to a different ability, but instead to itself; however, the same principle still applies–the ability of Faerie Artisans can only ever exile objects that were put onto the battlefield with that same printed instance of that same ability.
So the
Splinter Twin tokens, the populate tokens, the Zombie tokens–none of them will get exiled by Faerie Artisans, because none of them were created by abilities linked to the Artisans' trigger.
For more details on linked abilities, see section 607 of the CR.