You can't prove the material is good, you can only trust that the material is good, and 50 years later observe how it held up.
You can't find out the distribution of the alloy ingredients, or detect voids, or crystal structures, or traces of other elements, except by sawing the part in half and looking at the cut surface.
You can't find out the critical properties by looking at it. All you can do is be sure you know the full truth of the history of the material and the part. You only know that if a certain recipe is followed, then the material will be good. You have to trust that the supplier did do the recipe exactly as specified. You can't look at the part after the fact and tell that. Even stress testing to failure doesn't tell you that because the material may pass the test today but fail from fatigue over time.
The only empirical test is actual use in actual conditions for the full actual time.
You can accelerate some tests, and failing an accelerated test obviously proves the material was bad, but it doesn't go the other way. Passing an accelerated test does not prove that the material is good for actual use in actual conditions for the full normal time.
The end of the article has it right, if the parts seem ok from what testing is possible, then they are probably ok for this minute, and it's probably good enough to just replace them at the first opportunity during routine maintenance.