Really, cash relies on some sort of approval too. Someone's got to mint money and assure its scarcity (eg: value). I believe in cash for a variety of reasons, but there is no transaction aside from barter that doesn't rely on someone else's authority to buy something.
Just because using a tumbler itself is not against the law, if you use it to hide the source of income, it is still money laundering.
You can't get around financial laws by using property instead of currency. "A payment made using virtual currency is subject to information reporting to the same extent as any other payment made in property."
https://www.irs.gov/uac/newsroom/irs-virtual-currency-guidan...
Apparently "gold laundering" is a thing in some jurisdictions. https://en.wikipedia.org/wiki/Gold_laundering