I understood this as "you do work, we pay you, each of us handles our legal concerns in our respective countries".
That does, of course, leave the question of how to actually get paid anonymously, as there are plenty of accounting requirements for businesses that aren’t compatible with anonymity here either.
Your government could say it's illegal to receive money under these circumstances, and they basically do. But think about what that means.
That you're committing tax fraud and will probably spend a non-trivial amount of time in prison for tax avoidance as well as having a significant portion of property seized to pay back taxes?
That's called "job fraud," and it's a crime in most countries.
(The gardener might also be filing 1099s or the equivalent without you knowing, but that doesn’t seem likely.)
* how do you provide me with health insurance and other governmental benefits?
* for the purposes of anything official, am I as an individual technically unemployed?
* how do you provide me with retirement options such as a 401k?
* how do you report on my earnings to the IRS?