First of all, like 99%+ of conspiracy theories, you are assuming that every single one of literally hundreds if not thousands of people are going to maintain a viciously complicated coverup perfectly. That's just not gonna happen.
Secondly, but more interestingly, you are misunderstanding what "Too Big To Fail" means. A company is not "Too Big To Fail" because there's no replacement. There are plenty of investment banks, insurance companies, and such. They wouldn't all fail even in an extreme event, and those that survive would be happy to pick up all the new customers.
A company is "Too Big To Fail" because it has too much debt (or otherwise has too many other entities depending on it). Then, if it fails, lots of other companies (who would otherwise be healthy) suddenly find their credits vanish into a poof of bankruptcy. If the original company was small, they can refinance and take a relatively small hit. If it was huge, though, lots of people will want to refinance at the same time. Which will drive costs way up. Some of these businesses may fail because of this, leaving other companies in the same situation, in a chain reaction that can easily kill tons of businesses that don't even do finance, they do real stuff, and would otherwise actually be healthy and doing fine.
Please note, because this is the point, that the above scenario does not talk about payment schemes. Payment schemes have nothing to do with it at all. You could be paying cash, electronic, crypto, barter, whatever, it doesn't matter; the way debt is moved is just a technicality. If everyone used bitcoin, you would still have fat too-big-to-fail investment banks. They'd even be the same investment banks. The moment someone needs a loan to finance their brilliant new great idea, the ball starts rolling, it doesn't matter whether they get dollars or bitcoins.
Wait, I can hear it already... "But you can't create bitcoins arbitrarily out of nothing, so you can never have excessive debt!": nope, that won't work. The second someone says "I'll give you x btc next month", which you can't prevent people from doing, you have debt. Everything else - excessive leverage, nasty derivatives, the whole shebang - can, and will be, built on top of that. Already has been, in fact. Hence: FTX.
Just face it - there's nothing revolutionary in crypto. It's just a way to make payments without having to trust anyone. That's clever, but executing payments is not really a big problem, hasn't been in a while. The really big problems in finance have nothing to do with it, so a clever way of executing payments won't do anything to solve them.