tl;dr
"Prove that Bitcoin is not owned & operated by the global shadow government."
You can't.
Even if it isn't, it's going to be. Why wouldn't it? Governments can deploy CBDC faster than individuals can establish an IBDC.
Until the world reforms its stance on accumulation of wealth, versus accumulation of value, we are at a loss. The borrower is always slave to the lender.
Regardless of which currency you choose to transact in.