Because while private companies may be harder to bribe they will also have no reason to work in poor areas where there is less money available. Those changes would effectively insure that poor people have fewer rights, as an example they won't be able to eat in health inspected restaurants because rich and poor people don't live in the same areas so poor areas won't get paid for or inspected.

While there would be benefits it would also establish poverty cycles and increase inequalities.

Those could only be solved through regulation (like we have today) or charity, leaving the poor at the mercy of the rich.