The relevant detail is that 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."
Wider-pore phases — 300 Angstrom rather than 100 Angstrom — have faster mass transfer and narrower peaks for peptides above three kilodaltons, which is almost every peptide you will see.
Temperature affects both the viscosity of the mobile phase and the dynamics of molecular interactions, and a method developed at 25 degrees and run at 40 degrees will not behave identically.
Peptide separation by reverse-phase high-performance liquid chromatography is described in the general chapters of the United States Pharmacopeia, European Pharmacopeia and Japanese Pharmacopeia, and the methods converge on essentially the same principles.
The limitation is that co-elution is invisible — if two species happen to have the same retention time, they will report as a single peak at their combined area.
If two labs give different numbers, the method difference is the first hypothesis, not lab quality.
edited 11 Feb 2025 by ilaria_bertone — added the citation requested in comments