I just jumped in because you said bitcoin has the same anonymity as cash and that's clearly stupid. Nothing beats cash because it's offline, payments never registered or recorded (unless under security cameras), even with serial numbers it can move hands with zero traces.

Bitcoin has privacy is OK to say, and Monero has better privacy, even better. Now we're serious

If even Monero can be traced by chainalysis in some rare cases, like the E-A-E attack, to catch criminals, the main argument that bitcoin is closely watched does hold water and it requires way more effort to "wash" bitcoins under surveillance, but it's obvious that picking a random tx on-chain is not a good example of bitcoin privacy since we're not the ones those participants should be worried about

You can only truly hide the traces if doing large size coinjoins, and in very long time intervals so that your entry bitcoins are about weeks or months apart from when you want to spend them with a bunch of mixes in between