In a large skillet, heat the oil, one turn of the pan, over medium to medium-high. Crisp the bacon bits, 2 to 3 minutes, stirring constantly, then add the onion and garlic. Cook, stirring constantly, 3 minutes more. Add the sugar and vinegar; stir again and remove from heat. Let cool.
In a large bowl, season the turkey lightly with salt and aggressively with pepper. Add the parsley, Worcestershire and the cooled bacon mixture and drippings. Stir to combine, then form 4 patties (thinner at the center for even cooking). Reheat the skillet over medium-high. Add the burgers and cook, flipping once, 12 minutes. Top each with 1 slice of cheese during the last 1 or 2 minutes of cooking.
Slather each roll bottom with mustard and top with a burger, sauerkraut, pickles and a roll top. Serve with potato chips.