Mechanically, start from what the certificate claims to measure and what the claimed measurement actually answers, because those are two different questions.
Comparison across certificates from different laboratories is almost never valid, even when the material is the same, because the methods are almost never the same.
The certificate is a snapshot and nothing else — it tells you about the material on one day from one sample of one lot, and extrapolation beyond that requires logic.
The limitation is cost — truly rigorous testing on every lot is expensive enough that most people do not do it, which is exactly why the variation matters.
If the certificate does not trace to your vial, it is not evidence about your vial.