Place the ground beef into a large skillet set over medium-high heat. Use a spatula to break the meat apart as it cooks. Season generously with the sea salt and black pepper.
Continue cooking, stirring occasionally, for approximately 10-12 minutes, until the beef is thoroughly browned and any excess moisture has cooked off. Drain off any excess fat if desired.
While the beef is cooking, prepare the dressing. Combine the mayonnaise, 3 tablespoons diced pickles, sweetener, mustard, white vinegar, smoked paprika, and Worcestershire sauce in a blender or food processor.
Blend until the dressing is smooth and creamy. If it seems too thick, you can blend in a teaspoon of water or olive oil at a time until it reaches your preferred consistency. Taste and adjust sweetness if needed. Set aside (refrigerate if making ahead).
In a large salad bowl, combine the chopped romaine lettuce, chopped tomatoes, shredded cheddar cheese, 3/4 cup diced pickles, and minced red onion.
Add the cooked, seasoned ground beef to the salad bowl with the vegetables and cheese.
Pour the prepared burger sauce dressing over the salad components.
Toss everything together gently until the salad is evenly coated with the dressing. Serve immediately.