It doesn't even give you discretion. The whole btc blockchain has already been figured out by the FBI among other agencies just in the US. Completely traceable. Especially if you buy it on coinbase as they report everything to the irs. I won't use BTC nor do I want to own any for these reasons.
If you want privacy and discretion, Monero(XMR) is where it's at. Pretty much completely fungible and untraceable, way less fees, and quicker.