I've heard quite a few folks say this, and frankly I find it to be more rhetorical assertion than argument. Left out is how exactly they would stand to gain. Does Stoeger have a financial interest in a competing shooting organization or sport, say something like IDPA or PCSL? It seems not, and he seems resistant to starting something of his own, though many people urge him to do so.
Yeah, I think there's a bit of "Burn it all!" to some of Ben's attitude, especially soon after his ban. But he seems to be pretty openly encouraging people to save the sport by removing these apparently corrupt individuals. And as you noted in your later post, he doesn't want anything to do with an administrative or leadership role in the organization.
I get why Stoeger isn't many folks' cup of tea. And I wish he would learn to communicate criticism and input in a more effective way. He's got a lot to offer the sport, and he often undermines his own messaging with the trolling. But two things can be true at the same time: he's kinda obnoxious, but also right.