97.5 per cent is a number about the synthesis, and chain length is the strongest predictor of where that number lands. Stepwise assembly multiplies: at 99.5 per cent per coupling a 30-residue chain retains 0.995^29, about 86 per cent of the crude as full-length before any purification. Purification recovers a great deal of that, but the deletion sequences it is removing differ from the target by one residue and co-elute accordingly. So 97.5 per cent with the missing 2.5 per cent sitting as a cluster of near-neighbours around the main peak is ordinary for a long chain, and the same 97.5 per cent with one large unrelated peak is not. The chromatogram tells you which; the headline never will.
Read the chromatogram before you read the number, because the number without the trace is not a measurement, it is a claim.
Gradient slope controls resolution, and gentler slopes resolve co-eluting impurities into separate peaks — so the better method reports the worse purity number.
The relevant detail is that mobile phase additive choice affects ionisation and peak shape — TFA gives sharp peaks but suppresses mass spectrometry signal, formic acid gives worse peaks but preserves signal.
The Arrhenius relationship for peptide degradation is the basis of accelerated stability testing and also governs how quickly methods drift with temperature.
The caveat is that purity without identity is only half an answer — a high purity does not mean the peak is actually what you think it is.
The practical summary: ask for the chromatogram and the method, and ignore the headline number until you have both.