Wolverine isn't like most mutants. Unlike Charles Xavier or Jean Grey, Wolverine can't hide or contain his gift from the world. His ability isn't contained in the fabric of his mind, but rather his adamantium claws are a part of his genetic makeup.
Being that this is the case, it seems logical that Logan would develop a special relationship with his claws — perhaps even give them a nickname. And maybe, just maybe, that nickname is so apropos that it makes even the smart-alec motor mouth, Deadpool, giggle with delight.