The single most misleading statement on a research-grade certificate is a lot number with no statement of how many vials from that lot were tested.
The statistical foundation here is well-established, which is why sampling plans from decades ago are still valid.
The part that matters: published segregation failures show that even modern automated processes sometimes produce lots with measurable vial-to-vial variation.
Published data on lot homogeneity from manufacturers who sample multiple vials consistently find variation below the published specifications, suggesting the sampling plans work.
Worth noting that thermal excursions during shipping affect different vials differently, so the lot may not be homogeneous even if it left the factory that way.
If testing multiple vials, state how many you tested and why you chose those vials.