We've been around the block on this on several occasions. Suffice to say I find your explanations unconvincing, as the banks chain of ownship always leads back to the same small group, the same society which also owns Wall St. investment banks.
Having worked inside the system for much of your career, please do explain why the FED is making irrational interest rate decisions, harming the economy. Meanwhile they pretend the remaining inflation (housing) is a problem they can solve, when if fact they are themselves causing this inflation with interest rate hikes? Inexplicable? No, it's
'splicable (just unseemly).
Routinely, Chairman Powell has jaw-boned down the stock market in seeming response to the needs of hedge funds, who eagerly pounce on his hand-wringing (again, not supported by data). Twice is coincidence, three times is trend. There was literally a press conference when the SP started to go up during his remarks, a media article appeared, and he inexplicabley change gears to overwhelmingly negative for the rest of his talk. You can only say that doesn't happen if you don't look at it happening right in front of your eyes.
All are rhetorical questions, as there is no public information to provide definative evidence of this control. Such restrictions CAN NOT exist in a democracy without undue influence by powerful factions. Just because something is unseen, or unexplained, doesn't mean that its not true.
For example: explain gravity (I'll weight).