Mix together mayo or vegan mayo with pickles, capers, dill, lemon juice, hot sauce, Worcestershire, salt and pepper.
Add salmon to food processor with 1/4 cup of the tartar sauce and pulse to finely chop and combine. Place salmon mix in bowl and mix in cracker crumbs and Old Bay. Form 4 burgers.
Heat 2 tablespoons olive oil or a thin layer in a large skillet over medium-high heat, add burgers and cook 6-8 minutes, turning occasionally, for barely pink centers and 2 minutes more for fully cooked fish. Serve on buns with lettuce, tomato and onions and glue tops in place with a slather of homemade tartar sauce.