Specifically, two vials tested from a lot of ten is very different from two vials tested from a lot of ten thousand, and most certificates do not state the lot size.
Published segregation failures show that even modern automated processes sometimes produce lots with measurable vial-to-vial variation.
The part that matters: under AQL sampling plans, testing two vials from a fifty-vial lot gives you an operating characteristic curve that tells you what risks you are accepting.
Published data on lot homogeneity from manufacturers who sample multiple vials consistently find variation below the published specifications, suggesting the sampling plans work.
The practical summary: a lot number without a sampling statement is a lot number without meaning.
edited 3 Feb 2025 by bufferline42 — added a caveat about sampling