It appears the discussion has changed course from whether or not to stamp a vessel to whether or not a vessel needs a relief device - the latter of which is a very touchy subject as evidenced in other threads. But as mentioned above, these are very related issues. I hope, however, that people don't make relief requirements and Code stamps excepted in plant design and operating parameters simply because of the cost of implementing safety guidelines. I will be the first to admit that the paperwork and time required to fully comply with federal and state guidelines is quite burdensome and even moreso when ASME vessels and relief devices are involved.
In my previous life, I've designed and specified many relief devices - open pipes, spring valves, and rupture disks just to name a few. At the company I was with, nearly everthing (piping and vessels) had to be protected from over pressure (internal or external). One of the most common problems was thermal expansion of fluids in long runs of pipe - usually blowing out gaskets. Yes, by the rules and codes, relief valves are not required in "pipe" and often times it doesn't make sense to protect every pipe run with a relief valve as it gets way to costly. In general, it depended on the hazards of the fluid. There are other creative ways to relieve pressure - process control programming, ball valves with weep holes, etc.
Now to my current life: I will only claim familiarity to ASME Section X. In this code, Article RG-121 makes a few general statements for items not covered by the code:
1. a "vessel" 6" in diameter and under
2. "piping systems whose primary function is the transport of fluids from one location to anther within a system of which it is an integral part"
3. "piping components, such as pipe, flanges, bolting, gaskets, valves, expansion joints, fittings and pressure containing parts of other components, such as strainers, and devices which serve such purposes as mixing, separating, distributing and metering flow, provided that the pressure containing parts of such components are generally recognized as piping components or accessories"
Lawyers could have a field day with those statements. I'll leave it at that.
ASME Section X also has a few sections dedicated to relief requirements - Part RR "Pressure Relief Devices" and Appendix AB "Nonmandatory Installation and operation." These make mention of ASME Section IV, Article 4 and ASME Section VIII, Division 1, UG-125 to UG-146. Basically, these state that every pressure vessel must have a location (nozzle) for a relief device. The nozzle must be of proper size and location - yada, yada, yada...
I hope this helps a little.