01 - Combine mayonnaise, Dijon mustard, capers, lemon juice, parsley, dill pickle, hot sauce, smoked paprika, garlic powder, salt, and pepper in a small bowl. Mix thoroughly until smooth and well blended. Cover and refrigerate until serving time to allow flavors to meld.
02 - Place crab meat, celery, red bell pepper, green onion, parsley, breadcrumbs, egg, mayonnaise, Dijon mustard, Worcestershire sauce, Cajun seasoning, salt, and black pepper in a large bowl. Gently fold ingredients together until just combined, being careful not to overmix and break up the crab lumps.
03 - Divide mixture into 8 equal portions. Shape each portion into a patty approximately 1 inch thick. Arrange patties on a parchment-lined baking sheet and refrigerate for 15 minutes to firm up, which helps them hold their shape during cooking.
04 - Heat vegetable oil in a large non-stick skillet over medium heat. Add crab cakes in batches without overcrowding the pan. Cook for 3 to 4 minutes per side until golden brown and heated through. Transfer finished cakes to a plate lined with paper towels to drain excess oil.
05 - Arrange crab cakes on a serving platter. Garnish with lemon wedges and fresh parsley sprigs if desired. Serve immediately with chilled remoulade sauce on the side for dipping.