Doesn't work as a stable state; if you want corporations to be effectively independent of government cpntrol you can't split the powers up this way. Because those functions alone don't make something independent of the power of entities retaining the monopoly on violence, which is the defining feature of government.
To make corporations independent of the power of nominal governments, they have to either be an exception to or replace the nominal governments’ monopoly on violence, making them either components of or replacements for government. And once they share or solely exercise that power, they can't be kept out of every other domain. And if there is more than one of them, they will compete.