I agree with your overall sentiment, though this definitely isn't limited to large businesses. Plenty of small businesses are plagued with hero culture as well.
What's really needed are leaders who recognize hero culture for what it is and are willing to move away from it. That's hard to do, in large part because managers benefit from it in the short-term and many will move on before the long-term costs become apparent. Given your previous example: Every manager wants to be the "winner" who gets the job done with 10 people, but what's unfortunate is that many of them will move up to the next level and claim that they would have success even with just 4 "good" people (re: heroes). So their replacement will get 4 people and the cycle will continue.
What's really needed are leaders who recognize hero culture for what it is and are willing to move away from it. That's hard to do, in large part because managers benefit from it in the short-term and many will move on before the long-term costs become apparent. Given your previous example: Every manager wants to be the "winner" who gets the job done with 10 people, but what's unfortunate is that many of them will move up to the next level and claim that they would have success even with just 4 "good" people (re: heroes). So their replacement will get 4 people and the cycle will continue.