On the detail: most suppliers test one vial per lot and report the result as lot homogeneity, which is sampling one item from one lot and extrapolating wildly.
If the lot was manufactured in multiple batches, testing vials from each batch separately establishes whether batch-to-batch variation is acceptable.
The statistical foundation here is well-established, which is why sampling plans from decades ago are still valid.
Lyophilised peptide homogeneity studies show that vial-to-vial variation is usually small but occasionally large, depending on the distribution in the freeze-dryer.
One qualification: testing more vials gives better confidence, but at some point the cost outweighs the benefit.
The practical summary: a lot number without a sampling statement is a lot number without meaning.
edited 26 Jun 2025 by n_takahashi — added the citation requested in comments