One of the main reasons in choosing valve action type is, modulating will keep constant discharge, pop (or sometimes known as "snap acting") give fast relief & reseating pressure well below set pressure.
If your system is constantly working over set pressure, a pop acting will keep blowing off, reseating, blowing off, reseating.....a modulating valve will keep constant discharge..(think of it a a pressure regulator action....working on discharge)...I would get my knuckless whacked by my old chargehand should he read this last bit.
Ciao,