Well, there wouldn't be that much of the difference because StackOverflow is just the most popular site for asking coding question, if it didn't exist there would a different one just as big, as long as the internet is open there will always be a site like that. A better question: "How many programmers would have been unsuccessful is the internet was not open to the public?"
StackOverflow is just the path of least resistance. There was a time when developers would just have framework or language books sitting around for reference.
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[ 4.4 ms ] story [ 26.9 ms ] threadI think Github had a much bigger impact. I enjoy seeing how other developers solved a problem I have.
SO pays off in the short term, but in the longer term you are left with nothing but superficial knowledge and badges.