Add ground chuck and cold water to a medium saucepan before placing it over heat.
Use a potato masher or sturdy whisk to break the beef into very fine pieces.
Place saucepan over medium heat.
Cook, stirring and continuing to break apart the beef, until no pink remains.
Do not drain the beef.
Stir in tomato paste, sugar, yellow mustard, dried onion, chili powder, Worcestershire sauce, salt, celery seed, cumin and black pepper.
Bring mixture to a gentle simmer.
Reduce heat to low.
Cook uncovered for 30 to 40 minutes, stirring frequently, until the sauce is thick but still spoonable.
Add 1 or 2 tablespoons water if the sauce becomes too thick.
Bring a shallow skillet of water to a gentle simmer.
Add hot dogs.
Cover and cook for 5 to 7 minutes, turning once, until heated through.
Warm hot dog buns briefly in the microwave, oven or over steam.
Place one hot dog in each bun.
Spoon about 3 tablespoons warm coney sauce over each hot dog.
Top with diced white onion.
Add yellow mustard, if desired.
Serve immediately.