Whisk mayonnaise and ketchup in a mixing bowl until uniform pink with no streaks, about 30 seconds of vigorous whisking.
1 cup mayonnaise, 3 tablespoons ketchup
Add sweet pickle relish, minced onion, paprika, and Worcestershire sauce if using, then stir until pickles and onion are evenly distributed.
2 tablespoons sweet pickle relish, 1 tablespoon onion, 0.5 teaspoon paprika, 0.5 teaspoon Worcestershire sauce
Add vinegar or lemon juice 1 teaspoon at a time, tasting after each addition to check balance; stop when bright but not harsh.
1 to 2 white vinegar or lemon juice
Season with salt and pepper to taste, starting with ¼ teaspoon salt and a pinch of pepper, then stir and taste again before adding more.
salt and pepper
Transfer to airtight container and refrigerate 30-60 minutes before serving to meld flavors and thicken texture.