I don't know how the newer editions of the code handle this now that thermal fatigue is addressed. Maybe someone more familiar with the newer codes can answer your question better.
We are operating Code designed and fabricated vessels under the following conditions. I hope this gives you some information.
We operated numerous fairly large S/S (304/304L) pressure vessels built to ASME codes under severe cyclic loading. We were suffering thermal fatigue or differential thermal fatigue long before it was considered by the codes.
We have 5 vessels that cycle on twenty minute intervals with a temperature differential of approximately 200°C along with a pressure differential of 250 psi. These vessels operate 24/7/365.
These vessels are approaching 50 years old and the repair weld metal has exceeded the original weight of the vessel. Numerous modifications have enabled the inspection interval to be increased to 2 years, but expect a lot of repairs.
There are also 12 S/S-C/S jacketed vessels that undergo cycling mainly form the jacket side. Vaporized heating oils, using pressure control, are use to heat the vessel to 550°F on a 1 hr cycle. When the hot vapor is initially condensed and collecting in the lower part of the jacket the initial thermal stresses created are very high. These vessels to undergoes frequent repairs.
Another set of all S/S jacketed vessels with a set rotating internals, again on the initial heat up (80°F-550°F) with vaporized oil, using temperature control, we have severe distortion of the whole vessel due variable heating rates of the shell and jacket. It makes a banana. This again is caused by the oil condensate accumulating in the lower sections. This vessel also undergoes the water boiling in glass pot syndrome preventing a better control of the heat up. The vessels are between 16' and 21' long and designed for FV and 70 psi @ 700°F
We usually didn’t see any problems with other S/S vessels that have a big temperature differential if it stays constant.
We also had problems with pressure vessels and pipe where we had poor mixing of two liquids (hot and cold) at the pressure boundary of same. This has caused some failures. This has occurred with temperatures differentials under 100°F.
Addressing these problems has been an evolutionary affair. All the modifications were within the frame work of the code. There were some that would have made a big improvement but were not allowed.
We have never seen any problems with C/S vessels operating under 450°F.