"While current type 3 is supposed to fits this, a lot of said concepts don't fall into it (Ichibe's ink and some others kudodama stuff) because they don't have this mental thing, despite not being proven to be universal in scale and clearly
applying to a specific object/individual/etc...
Or you have pages who just have no types because they don't fall under the ones we have, such as Medea's."
"-One of the attributs would be that if said concept gets destroyed, it doesn't destroy the objects linked to it. Think of all these weapons, attacks, characters with the concept of victory, shield, unbreakability, etc... into them, whose destruction doesn't affect anything outside of themselves."
"-However, said concepts are still subject to change from the reality in return. Just like type 2, if there's no shield in the world, the concept of a shield doesn't exist anymore.
They also are subjects to change from a higher scale version of said concept, just like an object would."
What you gave is not even the full explanation... as the accepted comment itself says, it is a concept that is linked to a specific thing, and destroying that concept would not affect the specific thing linked to this concept, and one of the reasons why the name in DMC are type 1 concepts, they are the concept of existence, they are abstract, and destroying the name would destroy the concept of existence, and basically the source.