Did you forget about AIG and Merrill Lynch? BoA was "strongly encouraged" to buy Merrill. And the Fed just loaned AIG a boatload of money. All the banks got loads of direct (via capital infusions) and indirect support (the "Fed put" on steroids).

The owners of bank equity did fine while the working class got screwed. This is the environment the millenials started their investing opportunities in. That the game is rigged was made explicit early on in most millenials' investing career.

What about equity holders of hundreds of close-to-defunct financial institutions who were able to bounce back only due to government intervention?

That's a slimy way of summarizing the situation

It's pretty incestuous though. Mortgage backed security market got started at the Salomon Brothers before fumbling it to Morgan Stanley before GS ultimately decided when to pull the rug on it all. Citadel might not be a bank but market making is one of it's core functions much like them. Names might change but I bet many of the same players move between these firms.

Hedge funds didn't receive bailouts because they had all shorted the housing market. They instead made large profits while a large chunk of the country lost their jobs and homes.

Meanwhile hundreds of banks and other financial institutions did get public funds. The state did not take any ownership, and some of them still haven't paid back billions. The profits generated since then – all directly due to the bailouts – have been private.