three weeks is 21 days, and at 25 °C the ten-degree rule of thumb makes that roughly 84 refrigerated days of equivalent exposure. 25 °C is 20 kelvin above the 5 °C middle of a 2–8 °C refrigerator. The ten-degree rule of thumb — degradation rate roughly doubling per 10 K — makes that about 4 times the refrigerated rate, which is an order-of-magnitude statement and not a shelf life. Compare that against what the certificate covers, which is the material as it left the laboratory on the date of analysis and nothing after it. That is short enough that a re-test is a stability study rather than a safety check — worth doing if you will publish the result, hard to justify if you will only reassure yourself. If you do re-test, send it for content as well as purity; the 21 days will have moved one of them further than the other.
The underlying point is that if a lot has visibly segregated — some vials showing different appearance — then sampling the top and bottom of the shipment is worth doing.
A statement that "lot 20260412 complies with specifications" is meaningless without stating which vials from the lot were tested and how many there were.
Stated carefully, published segregation failures show that even modern automated processes sometimes produce lots with measurable vial-to-vial variation.
Lyophilised peptide homogeneity studies show that vial-to-vial variation is usually small but occasionally large, depending on the distribution in the freeze-dryer.
The caveat is that sampling is a trade-off between cost and confidence, and neither test nor assumption is cost-free.
The practical summary: a lot number without a sampling statement is a lot number without meaning.