Pour vegetable oil into the bottom of a slow cooker. Place pork roast into the slow cooker; pour in barbeque sauce, vinegar, and chicken broth. Stir in brown sugar, yellow mustard, Worcestershire sauce, chili powder, onion, garlic, and thyme. Cover and cook on Low for 10 to 12 hours or High for 5 to 6 hours until pork shreds easily with a fork.