If you want a career in software development, stay far, far from the places where there stuffed suits run the shop. It's a small and dirty corner of the industry.
I'm sorry, but while I don't have numbers on it, I don't believe that's true. It is my understanding that there are at least as many programmers, system architects, and all other sorts of software developers working in-house for companies that do not sell software, writing programs that will never be seen or used outside of that company.
Remember, in the modern world recruiters and hiring managers find your resume online, it's all "pull-based" now. Hiring manager want to solve specific kinds of problems. You want to list the specific kinds of problems that you've solved, because that's what they're actually looking for. Sure, sure, make sure to work in the keywords that recruiters search for, that's quite important, but those keywords can be anywhere.
I'm perfectly willing to believe that, at present, there are a significant number of big-corp hiring managers who will ignore any resume that doesn't "list specific kinds of problems that you've solved." However, I'm not willing to believe that it's every single hiring manager in the country, nor even every Fortune 500 hiring manager. Nor am I willing to believe that, if there are indeed a large percentage doing it, that is anything more than Yet Another Hiring Fad. Because I've heard about dozens of different hiring fads on Slashdot over the past decade and a half.
Me, I'm lucky. I got hired in academia, in a job that fits my skillset and temperament very well, so it doesn't actually matter just at the second (knock on wood) what my resume looks like. But if I took the advice of every person who comes along, like you, and says, "OK, you must have X in your resume or you'll never get a job," my resume would be about 20 pages long. (Except that one of the Xs I've heard is, in fact, "your resume must be no more than 1 page." So, go figure.)
If I had a way to evaluate such advice, to know which pieces are good, which are snake oil, and which are just out of date, it would be fantastic. Unfortunately, I don't—and I don't think you do, either.