Thats not a good example. People who are serious about kashrut won’t eat Hebrew National. They may claim to answer to a higher authority but in fact their supervision is problematic. Also they are really a nationwide brand and can be found in areas with zero Jews.
Thats actually the real reason why so many products are under kosher supervision. This is explained in detail in the book Kosher Nation: Why More and More of America’s Food Answers to a Higher Authority