Hmmm. Pressure, density & velocity.
Higher pressure would increase response (thought test this using extremes of density).
Velocity is where we lack understanding, right? From Murch's old post, thin headers are the win. Was this due to velocity or pressure, and as you state @Not_Sean, due to the interaction with another part of the system in regards to either temperature or a bottleneck/step change?
Almost need a napkin and a mech engineer who understands fluid dynamics 101