Blackrock doesn't need to manipulate the price of Bitcoin.
If anything they want to manipulate it up so they are raking more USD from the ETF.

Also I'm suddenly remembering last year when everyone was talking about Uptober.
We had a banking crisis.
Bitcoin "crashed" to $20k.
Then it spiked to $28k before the end of the month which pretty much proved the bear market was over.

Uptober is one of those events that can't be countertraded.
No matter how many people believe in it.
It's one of those weird events that tends to happen anyway.