01 - Place 6 large eggs in a saucepan and cover with cold water by 1 inch. Bring to a rolling boil over high heat, then immediately reduce heat to medium-low and simmer for 10 minutes. Transfer eggs to an ice bath and let cool completely before peeling.
02 - Slice peeled eggs in half lengthwise. Gently scoop out yolks and place them in a mixing bowl. Set egg white halves aside on a clean surface.
03 - Mash yolks thoroughly with a fork until smooth and crumbly. Add mayonnaise, Dijon mustard, white wine vinegar, cayenne pepper, chopped chives, salt, and black pepper. Mix until completely smooth and creamy. Adjust seasoning to taste.
04 - Spoon or pipe the yolk mixture into the reserved egg white halves, mounding slightly above the edge. Smooth tops with a small knife or offset spatula for even coating.
05 - Arrange three shallow dishes in a row. Place flour in the first dish. Beat 2 eggs in the second dish. Combine panko bread crumbs, paprika, 1/2 teaspoon salt, and 1/4 teaspoon black pepper in the third dish. Mix well to distribute spices evenly.
06 - Working one at a time, dredge each filled egg half in flour, shaking off excess. Dip into beaten egg, allowing excess to drip off. Press firmly into panko mixture to coat thoroughly on all sides. Transfer breaded eggs to a plate and refrigerate for 10-15 minutes to set coating.
07 - Pour vegetable oil into a large skillet to a depth of 1 inch. Heat over medium-high heat until oil reaches 350°F. Use a deep-fry thermometer to monitor temperature.
08 - Fry breaded eggs in batches of 4-6, filling side up, for 2-3 minutes until golden brown and crispy. Use a slotted spoon to gently turn once for even browning. Remove when golden and drain on paper towels.
09 - Transfer fried deviled eggs to a serving platter. Sprinkle with additional chopped chives for garnish. Serve immediately while crispy and warm.