I think you are confusing depth-balanced with tank-pressure balanced.
As we already discussed, for feeding an orifice with constant flow you need to eliminate the depth-balancing (which is better known as depth-compensation), ensuring the IP stay constant at the same absolute pressure independently from the ambient pressure.
This is obtained closing the holes which allow to the ambient pressure to act on the piston.
The fact that the reg is balanced relatively to the tank pressure, instead, is a good thing even when the ambient pressure compensation is disabled.
I was keeping it simple.