Right, but that's why I'd say it is a modern take on it. It actually makes the program more like an opportunistic specialized VC/investment bank combo.
From your link, emphasis added: Created by order of President Franklin Delano Roosevelt, the WPA was funded by Congress with passage of the Emergency Relief Appropriation Act of 1935 on April 8, 1935.
funding seems like a sort of crucial detail to me.
EDIT: http://en.wikipedia.org/wiki/Works_Progress_Administration
Looks like the executive branch should have enough power to do this on its own.