Sorry, I got a phone call in the middle of that last post and had to bail before I got to explain.
Staged pressure reduction stations go back to when this was all done with regulators. Even before I was in the business. Regulators have, among their other characteristics, a property called Inverse Sympathetic Ratio. It's caused by the forces exerted on the plug by the process medium, compared to the forces exerted on the diaphragm by the sensed pressure. Nothing "Automatic" inside a regulator, just proportional force balance. 3% is not an unusual number for ISR. So if the upstream pressure increases by 10psi, the downstream pressure DECREASES by 0.3 psi. You'd be shut down. Or, of your N2 system goes a little soft by 10 psi, the outlet pressure of the regulator would INCREASE by 0.3 psi. That would be a HUGE swing for you in this application since your setpoint is only 0.1445 psi (4" WC). If you staged (2) 3% regulators, the outlet pressure swing would drop to 0.03^2 or less than a tenth of a percent. You wouldn't even SEE the output change due to swings in upstream system pressure unless you were watching verrry closely. So why don't you just use regulators? Regulators have other fun characteristics such as droop and high seat leakage but I won't go into all that here.
But you are not looking at regulators. You are looking at a control valve. With a control valve, the motive force comes from an independent compressed air system, with a PID controller telling the valve where to go. It looks at your downstream pressure, compares it to setpoint, and makes any corrective action necessary to keep it to zero error within the limits of sensitivity of the pressure transducer reading it. You only need a Cv of about 1, so the orifice is about 1/4". Not much force is required on an unbalanced plug to overcome 120 psi DP across a 1/4" hole. Your thumb will do that.
You can very easily take that kind of drop in one stage through one valve and control accurately. I listed a number of valves in an earlier post that would do just that.