As I understand it, there's a difference between the pressure spec developed in 1906 and what a modern action and 30-06 brass can handle.
I would be cautious about old actions, not because of the pressure spec, but because of the old, inferior metals used, and for whatever fatigue life is left in the action. Metallurgy was extremely primitive in the WW1 era, the metals used were inconsistent in composition, and the process controls tended to be human eyeballs. For those reasons and more, old actions have their uncertainties and are more likely to fail, either due to extreme pressures, or just use.
If you compare shear in a M1903 bolt and a post WW2 bolt, both are oversized for the application, but just based on the more modern, and better alloy materials used, the later bolt should have a higher yield and fatigue life, all things being equal.
Something that is often ignored is the cartridge case. Cartridge brass is the same stuff now as it was then. The case is a gas seal, but, if you push pressures, it will stick to the walls of the chamber and you will require a cleaning rod, or a welding rod, to knock it out, assuming you can get it out without having to remove the barrel from the action! While most pressure discussions assume that action strength is the most important, which it is if you are trying to blow the action up. If you are deliberately trying to do a destructive test, then a more modern action will hold together better than an old one. But, nothing made by man cannot be unmade by man. For normal operation, it is highly desirable to have the cartridge feed and extract. Particularly without special tools being required to extract the case. And in this scenario, you don't want 80,000, 90,000, 100,000 psia pressures in the chamber.
So, in that way, what you find that if you don't want a magazine fed, air cooled, single shot rifle, brass characteristics still limit the amount of pressure that can be applied to the cartridge case.