"Kiku pierced KAIDO like a mat", first, understand, KIKU has ACOA, ACOA was created to ignore durability, cage wires ignore durability since when?
Secondly, even though piercing KAIDO as a mat, the sheath cuts were superficial damage, meaning superficial?
Even with a technique/skill, made exclusively to ignore durability, the attacks themselves are still ineffective, for better clarification I'll give you an example:
We have the skin of a hippopotamus, which is highly durable, and to combat this durability I learn a technique with a knife to ignore the durability, even with that the knife only superficially pierces the hippopotamus skin, even with the help of KINEMON, ASHURA AND DENJIROU, AND NEKO, helping me, which means that the hippo's skin is very resistant to the point that even with a proper technique for piercing, people can only penetrate superficially.
Now to the point, the cage doesn't have ACOA, doesn't have ADCOC in its strings, the cage hasn't even demonstrated the strength of breaking the weapons of marine fighters with basic COA, KAIDO's skin is > basic COA and ACOA and it can be recover/heal, in a matter of minutes of fatal wounds with ADCOC embedded in them, do you think the cage with mediocre cutting power will kill KAIDO? She can't even cut it.
"A super sharp and resistant cord"
That's just what the cage is.
A sharp sword without COA and ACOA is the same thing as this string,
KAIDO in the invasion chapter claimed that "your swords cannot hurt me".
Follow the list:
COA = Ineffective in KAIDO we saw this in the demo of G4 luffy versus KAIDO.
ACOA = Superficial damage to KAIDO, that's what Luffy himself said, after attacking KAIDO in his G4 form the entire time.
ADCOC: ADCOC is the best way to damage KAIDO, but mind you, not every attack performed by X will be at the level of a finisher like ASURA ZORO, which means that inferior attacks with ADCOC will be recovered by KAIDO in a matter of minutes, as KAIDO healed a wound deep enough to scar him in a matter of minutes, all while fighting another opponent who also had ADCOC.
So not even VERSE's greatest skill is fully effective on KAIDO, its recovery ability is surpassing ADCOC in a matter of minutes.
KAIDO can still fight ADCOC's blows at the level of ASURA ZORO with his incredible recovery and stamina.
COA = no damage.
ACOA = Damage that is closed/recovered in seconds OR minutes, KAIDO did this when he went into his dragon form versus the scabbard, he closed their blows in seconds.
ADCOC = minutes, it takes minutes, he closed ZORO's scar in 0~14 minutes and it might even have been earlier, we have no idea how long it took, but it was just MINUTES.