The whitepaper shows it was intended to be "peer to peer electronic cash". It did clearly fail at that goal since it has none of the privacy of cash and so on.
You can use bitcoin completely/as anonymously as cash if you wanted to, the same way you’d have to put in a bit of effort to have a completely anonymous cash transaction.
Monero (XMR) which is a fork of bitcoin, is much closer to actual cash
You can buy ETH, then you can use a TOR crypto exchange to swap it from ETH -> BTC into your wallet.
Just an idea though