01 - Preheat a large nonstick skillet or griddle over medium-high heat until hot.
02 - Divide ground beef into 4 equal portions and shape into loose balls.
03 - Place a beef ball onto one half of each tortilla. Season evenly with salt, pepper, garlic powder, and smoked paprika.
04 - Using a spatula with a heavy pan or burger press, smash each beef ball thinly and evenly onto the tortilla surface.
05 - Sprinkle a generous amount of shredded cheddar cheese over each smashed beef patty.
06 - Fold each tortilla over to form a half-moon shape, pressing gently to seal.
07 - Add 1/2 tbsp butter to the hot skillet. Place quesadillas in the pan, cooking in batches if necessary. Cook 2-3 minutes per side until beef is cooked through and tortilla is golden and crisp, adding remaining butter as needed.
08 - Remove quesadillas from skillet and let rest for 1 minute before filling.
09 - Gently open each quesadilla and distribute lettuce, tomato, onion, pickles, and a spoonful of burger sauce evenly among them.
10 - Close quesadillas, slice into wedges, and serve immediately while hot and crispy.