Katakuri: ,"Someday... will you... come back here... to defeat Big Mom...?" *When it comes to protecting his family, Katakuri is willing to protect to them at all costs. He intervened multiple times to protect his mother, Big Mom, and was willing to protect his siblings from Luffy who tried to attack them. However, if his family members are interfering with his fight, like Charlotte Flampe for example, he is willing to use Conquerer’s Haki to knock her and everyone else out who stands as an interference.
Katakuri consciously tries to maintain his noble appearance as a person who is not gluttonous and lazy. His attempt at keeping up his appearance is good to the point where nobody ever sees him acting without manners. However, when Luffy and Katakuri’s chefs saw Katakuri on the floor eating doughnuts with no manners, Katakuri took it upon himself to murder the chefs out of wrath and was more willing to kill Luffy so that he does not expose what he saw to anyone. Even though he maintains a noble appearance, he is secretly gluttonous like his mother and has no manners.
Katakuri is insecure about showing his mouth to anyone since he was bullied as a child for showing his mouth around his family. He prefers to cover it up with a scarf in most of his appearances. When the chefs saw his mouth, he lashed out at them by killing them and attempted to kill Luffy. However, as the battle continued, he eventually took off the scarf around his mouth and was willing to face his family and Luffy without it on. Even though his Flampe made fun of him for his appearance, Katakuri stood there and took their insults until he knocked them out with his Conqueror's Haki.
In battle, Katakuri is shown to be arrogant by bragging about his powers to Luffy stating that he can do anything Luffy can do but better. Katakuri is later shown to have an affable side as he compliments Luffy on his idea to fight in the Mirror World than on the Sunny. In his battle against Luffy, Katakuri is also shown to be patient as he waited for some time for Luffy to return to the Mirror World and fight him. When Katakuri gets angry in battle, he is not focused on his enemy and is prone to getting attacked. He can get over this anger relatively quickly, though.o
He also has an honorable side, shown when he eventually sees Luffy as a competent fighter and wanted to defeat him fairly without interruption. He hates interference because he considers it to be morally wrong. As the battle progresses, he was upset at how little of challenge Luffy was to him when he was on the floor barely putting up a fight. After discovering the cause, he became angry at his little sister, Charlotte Flampe, when she intruded on his battle with Luffy and yelled at her to never give needless support in a battle between men. As a result, Katakuri impaled himself with his trident as a way to get even with Luffy. He nonetheless used Conquerer’s Haki with Luffy's own Haki to knock out Flampe and her subordinates as punishment for their interruption. He also apologized to his enemy for his sister's interruption, he even told Luffy he saw him as an equal. This was seen when he was impressed that Luffy gained mastery of his Haki and turned the tables on him. After Luffy gave him his first loss, Katakuri got back on his feet and selflessly asked him of his future goals and was pleased to hear his answer, showing that he came to deeply respect Luffy as a competent and powerful fighter. Due to Luffy's efforts, Katakuri didn't care about his image and choose to embrace his true self as well he wish to have a rematch with Luffy one day*