Nope. Monero is actually private and untraceable.
There is no safe, only shades of safer.
Is the mathematical underpinnings of Monero sound? That's a good starting point. There are still implementation bugs, compiler bugs, architecture bugs, supply chain vulnerabilities, and state actors with unlimited $.
This is certainly not a given. The government isn’t going to be cracking signal messages within any reasonable timeframe either.
[1] https://www.forbes.com/sites/kellyphillipserb/2020/09/14/irs...
There is a literal virtual tumbler built into the transaction protocol called ring signatures.
Stealth addresses (an additional crypto key pair) obfuscate senders and receivers.
They also hide the amount transferred which blew my mind.