Every ASME pressure vessel that is used as an ASME pressure vessel (i.e. pressurized in service or in emergency, and relieved at a pressure above 15 psig) requires a pressure relief device by code. It can be a pressure relief valve, rupture disk, buckling pin device, a vent with a P trap, or perhaps even an engineered, high availability active safety instrumented system depressurization device etc., but it cannot be NOTHING- even if no cases for overpressure are identified.
That relief device can be either dedicated to the vessel itself, or it can be shared with other vessels of the same MAWP or lower that it is connected to by pipe, of adequate size, and without valves which can be closed or a fluid which can freeze etc. which would thereby defeat the pressure relief protection of the vessel. Typically, valves which are locked or car sealed in the open position may be permitted in the interconnecting lines after a HAZOP review.
That's the way I read and interpret ASME VIII-1. If others disagree, and can quote chapter and verse from either ASME VIII or API 520/521 that says otherwise, I will be happy to stand corrected.