The part that matters: most research work uses in-house standards of unknown provenance, which is exactly the situation where a mistake in the standard produces systematic error in every sample measured against it.
A standard purchased from a supplier carries a certificate stating its purity, and that purity is your starting point for understanding your result.
The ICH Q3A and Q3B thresholds for reporting, identification and qualification of impurities are the framework the pharmaceutical industry works to, and they are worth reading even though nothing in the research-grade supply chain is obliged to meet them, because they tell you which numbers a competent analyst would consider worth reporting at all.
I would not accept a standard that does not come with a certificate stating its purity.
In practice: ask for the chromatogram, check the method section, check the lot number against the vial, and set your accept threshold before you see the result rather than after.