It would only be different in order not function, as could be inferred by your argument.

In many states, the employer has to pay all of the unemployment compensation tax. In the hypothetical, since poverty elimination is the goal, both market participants could split the cost of unemployment compensation. It could reduce some of that cost to the employer, and provide the labor market participant with some market based metrics to work with.

Eliminating the drug and terror wars would free up those resources and it would not cost you anymore than you are already paying; and you could be more holy and moral to our Constitution, not to mention more patriotic to our republic.

For those that never provide labor input to the economy, the general government of the Union could ensure the solvency of that public policy with our tax money; as a form of holiness and morality, and glorious patriotism to our republic, and modern and global first world political-economy.