Jim, that is a very "Cool" idea! Why get rid of the zero pressure tank?
That is an antiquated system in my opinion. We are doing things that are not normal. Nobody can tell me that our cooling systems will work just like any other car.
Our air flow is restricted in so many ways and at speed we are creating a vacuum behind the car which also restricts air flow.
A zero pressure tank only collects fluid while the coolant is heated and expanding.
Steam is created in our cars. Where does the steam go? It travels to the highest points. A water pump will never be more powerful than stream.
How do we get rid of the steam at the top of the engine and radiators?
We install vents. Where do the vents vent to? They could go anywhere but we want to collect the liquid that goes with it.
So, if it went to a zero pressure tank we would need a really large tank because all the coolant would spill into it eventually.
If we had a zero pressure tank that sent coolant back to the engine as it was expelled it would no longer be a zero pressure tank, it would be a pressure tank.
The pressure tank does not need to be filled to the top. It should be down a little to allow for expansion when hot.
Most people don't have a zero pressure tank attached to the 2nd, 3rd or 4th radiator cap vent port because no coolant spills out of there normally.
If you have more than one radiator cap in the system picture this....
When a hot engine cools it creates a vacuum in the system. A "vented" or "closed" radiator cap is typically used with a zero pressure tank. This allows for coolant to be sucked into the system during the cool down period. It there is no tank on one of the caps necks then it will only suck in air. Air is then going to become steam.
This is why I am recommending a pressure tank with only ONE radiator cap in the system. This cap should be a "non-vented or open" cap.
https://jimdinner.wordpress.com/2012/07/09/radiator-caps-explained/