Deviled Eggs with crab

6 eggs 4 ounces cooked blue crab meat 2 teaspoons vegetable oil 1 1/2 teaspoons seafood seasoning (such as Old Bay®), or as needed 1 1/2 teaspoons dry[...]

6 hard-cooked eggs, cooled 1/2 teaspoon dry mustard or 1 teaspoon prepared mustard 1 dash pepper 3 tablespoons mayonnaise , salad dressing or 3 tablespoons[...]