Monet, Law, Caesar had no heart at some point yet had no problem being conscious. Law would need 2-3 more seconds to grab the heart and squeeze the shit out of it while already having one foot in the grave, and under these seconds hope that Doffy doesn't hit up with an attack. So no chance, GK was his best option.
We don´t know how Monet and co where doing, fact is Law could do it without making them Co.
It is literally a fact that MES one shot Smoker, later Smoker was conscious without his heart too.
The most important moment was when Law use the attack.
Mes or cut skill, both things would be a KO hit for Doffy.
Because those strings didn't have haki. Look at the shading on the athlete strings and the one he hit Law with and you'll see the difference.
Law sword hadn´t haki too, I doubt Law simple swing of Sword> Doflamingo 5string attack who cut behind Law even the ground it was so powerful yet not cut anything of Law. While Law no haki sword could cut Doffy though his haki.
Who knows but if he had better CoA than Doffy then he should have, right?
He should teleport himself away too, right? Do he do it? No...
Being dishonest while discussing a children's pirate manga, shame on you.
You can clearly see the attack of Doffy come from the side, he hit his shoulder, Flap thread stronger then Athletic thread didn´t cut Luffy CoA.
Tashigi attacks Law ---> gets cut in half
Because Law cut though her, in the panel under Doffy attack Law not Law Doffy, so he couldn´t cut him, you point doesn´t make anysense.
MES clearly work on Doffy with means his haki was not stronger.
Law teleport Doffy twice, use MES and have a feat where his haki was portrayal better, you point are baseless.