Not correct. What I believe the ten times operating most likely refers to is the expanding gas in a vessel. To make a gas expand 10x, it takes a 10x change in temperature, so if you started with a 520 K temp, then to get 10x pressure the temperature would be 5200K. At which poit, you just say the vessel will fail when it gets to 1500K and go on.
I guess a similar thing might happen with a boiling liquid fire case. For example a propane tank that operates at 200 psia and 565 K and the vessel is rated at 1000 psia. As heat is added, the propane boils and the pressure goes up to 616 psia and 205 F. The tank has not started to see a significant loss in strenght and it is still below the set pressure of 1000 psia and it is now a supercriticle fluid. The pressure must increase to 1000 or 1.5 times the pressure. Then at 1000 psia, the temperature will be 1.5 * (205 +460)-460 = 537 F, somewhere between the time the pressure is increasing from 616 to 1000, the temperature goes from 205 to 537 F, the metal will weaken enough that it may fail at a lower pressure than the relief valve would open. (all you hardcore guys, don't jump on the above for not correcting for compressibility, especially above the criticle point, this only an simple example).
This is an extreme cases and one could argue the need for a psv with this system. Aw, but what about blocked flow, tube failures, control valve failure cases?