The structural problem with a group buy is that the organiser typically holds both the money and the material, which means there is no point at which any participant has recourse. That is solvable, and it is solved by design rather than by trust.
The diagnostic red flags, in rough order of how much they tell you: a certificate whose lot number does not match the vial; a certificate with no method section; a purity figure quoted to two decimal places with no chromatogram; a testing date that precedes the stated manufacturing date; identical certificates across nominally different lots; and "sterile filtered" offered in place of a sterility test. Each of those is a specific inference, not a vibe.
A parcel sitting for eight to fourteen days at a customs facility is overwhelmingly likely to be queue rather than scrutiny. Volumes at international sorting facilities are high, tracking updates are batched, and a gap in scanning is not evidence of inspection. Escalating during that window generally achieves nothing except creating a record.
The economics of pooled purchasing are not specific to this field, and the failure modes documented in the general literature on informal collective purchasing — organiser default, quality dispute without adjudication, and free-riding on testing costs — are exactly the ones that recur here.
One qualification: independent testing tells you about the vial you sent. It tells you about the vial you kept only under an assumption of homogeneity that nobody has tested.
Structure the group buy so that no single person is simultaneously the treasurer, the custodian and the arbiter. That one change removes most of the failure modes.