You get invited by actually trying to play. Not everyone who tries will get in, but it's a lot more likely that you'll succeed if you work the problem, instead of throwing up your hands in disgust at the world.

Non-technical skills matter. People and organizations have multi-faceted incentives. If you think the incentives of the people making decisions are leading to bad outcomes, then learn how to make that heard to them. Learn the situation as they see it, and use your own, better-aligned(?) incentives to improve the organization. And if it's not worth trying, so be it. But you need to accept that much of the world is you live in will continue to be shaped by the people who care enough to see "that hustle life nonsense" as a worthwhile trade.