Preheat Oven To 350 Degrees F (175 Degrees C). Mash The Corned Beef Into A Saucepan, And Stir In Ketchup, Mustard, Worcestershire Sauce, Onion, And White Cheddar Cheese Over Medium Heat. Bring To A Boil, Reduce Heat To Medium-Low, And Simmer Until The Cheese Has Melted And The Onion Is Tender And Translucent, About 10 Minutes. Fill Each Hot Dog Bun With About 1/2 Cup Of The Mixture, And Wrap Each Filled Bun In Aluminum Foil. Place The Wrapped Buns Onto A Baking Sheet. Bake In The Preheated Oven Until Buns Are Slightly Toasted, About 15 Minutes. If Desired, Make A Big Batch Of Filled And Wrapped Buns, Freeze Them, And Bake Frozen For 35 Minutes.