Carved crabs can be made from sea crabs or river crabs. They are traditional dishes in Zhejiang, belonging to Zhejiang cuisine. It is a traditional food, and can be used without any cooking skills as long as there are ingredients.
Hairy crab is the name of a creature and a kind of crab, which is mainly distributed on the long coastline from Liaohe River to Pearl River in China. Among them, the Yangtze River system has the largest output and the most delicious taste. Hairy crabs are edible crabs.
So carving crabs and hairy crabs are two different things. Carving crabs is a dish name, and hairy crabs are creatures.