High-performance liquid chromatography is a separation technique, not an identification technique, and it answers the question "how much of the detected signal is a single species" not "which species is it."
Acetonitrile is the organic modifier of choice because it has a good UV cutoff, a reasonable viscosity and a refractive index that minimises baseline noise.
On the detail: detector linearity is why a heavily loaded peak can give false purity by compressing the main peak height while leaving impurity shoulders unchanged.
Peptide impurities from solid-phase synthesis include deletion sequences, truncations from premature cleavage, racemised residues from epimerisation and oxidised variants, each of which may have different chromatographic behaviour.
If two labs give different numbers, the method difference is the first hypothesis, not lab quality.
edited 6 Jan 2025 by s_kalniete — clarified the distinction between purity and content