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When you say 'how they did it' I'm guessing that you are referring to how SP increased flow rates? I think I can at least partially answer that. First, (you may know this already) the way these flow rates are measured are with an unlimited HP supply and all the port plugs removed. So right off the bat there is a tangential (at best) relationship to real-world diving, because when we dive we are not getting air from an unlimited flow supply, far from it, and we are also not using all four or five LP ports to feed one 2nd stage.
Think about those numbers. 80cft/minute is emptying an AL80 in one minute. 300 cft/minute is emptying one in a little more than 15 seconds. Open the valve on an AL80 and let it breathe down; it takes several minutes, assuming you can keep it from freezing! So the difference between 80 cft/minute and 300 cft/minute would be kind of like the difference between a car that can go 200 mph and one that can go 500 mph. I guess if you live on one side of the Bonneville salt flats and your true love lives on the other side, it might have an active impact on your life, but for the rest of us, not so much. Like the speed limits and road conditions, the tank valve is by far the limiting factor on how much air flows through your regulator.
There is some relevance to flow rates, though; basically, first stages with excellent aerodynamic properties should have less IP drop under inhalation as the air moves more efficiently across the piston edge and re-stocks the IP chamber more quickly. That's the idea behind the rounded piston edge. It allows for smoother and more efficient gas expansion into the IP chamber. That's why the MK10+ flows more than the MK10.
I don't honestly know how they doubled that flow rate with the M25, but I could guess that the bushing system which reduces friction and the lowered weight of the composite piston both contribute to quicker piston response, which should mean that the valve opens more quickly under load. And it seems to work in that IP drop and recovery in the MK25 is very impressive. This means, theoretically, that the 1st stage is supplying the 2nd stage with air at very close to IP even when it's open, which should theoretically lower WOB. Real world? I doubt it matters.
The atomic uses a rounded piston edge and a re-designed seat that I'm sure has very good aerodynamic properties, so I would guess that it's flow rates are very very high.
I am actually taking the tech certification class for the Mk2 and asked what the differences are between the cheap and expensive regs. The Mk25 has a way bigger hole through the piston and it is a flow through design where the cheap Mk2 has a smaller hole(quite a bit smaller) and it is not a flow through it flows off to the side of the piston stem. This is how they get the higher flow rate.
Now SP does have their reg CE tested and even the chap Mk2 exceed the CE requirments by 3 times..
Q: Which Scubapro piston 1st stage is the overall best?
A: The ones that Couv sells. :-D (Too bad I don't have any right now.)
The real answer of course is the MK10 SPEC. Why? Sharp piston, low parts count, easy to service, can be configured with or without grease in the ambient chamber, the grease (if one chooses to pack it) can be silicone or PTFE. The SPEC boot can be OEM or homemade. The HP seat comes in 3 lengths to easily change the IP. The seat can also be OEM, aftermarket, or homemade. Works well on hp tanks...
Ooh, that one looks "complete".
...Homemade boot retaining readily available...