"OMG the cook broke a hakiless toy sword from a lab Okama, he clearly and specifically counters swords now!" :laughmoji:
Queen didn't mention if he used haki or not, he just asks if Sanji used haki, and it is said that Armament Haki wouldn't be enough to break the sword. Can you show me a panel of a Scabbard showing Haki on their swords and changing its color while piercing Kaido non stop?
So Sanji didn't got hurt, neither used haki, and still broke the sword, and his haki was already decent enough to block blades, slashing/piercing weapons and attacks are the most tough things to block with Armament Haki, unlike most blows.
Even if your haki is superior to your opponent's haki
Obviously Sanji isn't breaking a Meito, literally nobody is supposed to do that, even if he uses haki or counterattacks it with Devil Leg, but he is for sure the most efficient one against blades, and overall slashing and piercing moves