Season pork with salt, paprika, and black pepper. Heat oil in a large skillet over medium-high heat.
Brown pork 3 to 4 minutes per broad side; set over onion in a 6-quart slow cooker.
Pour broth around pork. Cover; cook on low 8 to 8 1/2 hours until a fork twists easily in meat.
Whisk vinegar, brown sugar, hot sauce, crushed red pepper, and Worcestershire until sugar dissolves.
Transfer pork to a rimmed pan; discard large fat pockets. Pull into bite-size strands.
Skim cooker juices; return 1/2 cup juices and pork to cooker. Fold in half the vinegar sauce.
Cover on warm 10 minutes; serve with remaining sauce alongside.