This might be a stupid question but what causes blowdown pressure? Why would the pressure to open the valve be different than resetting the valve, or at least significantly different?
That's the art of the design. Once you start to flow you want the valve to open fully with a very small increase in pressure. There's a lot of effort goes into the design.
Blowdown percent is normally in the range 7 to 10%. So difference in force is not that big.