Accepted answer
Answer first: for a lyophilised solid, transit temperature matters far less than people assume, and transit duration matters mainly because of what it does to the cold pack rather than to the peptide.
Reported ranges from Chinese origins to western Europe cluster around nine to fourteen days with tracking, with inland origins adding a domestic leg and coastal ones sometimes beating the range.
A single-use temperature data logger costs a few pounds and converts speculation into a record. If the temperature history matters to you, buy one rather than arguing about packaging.
Arrhenius kinetics predict degradation rates rising with temperature, and the rates for a dry lyophilised peptide at ambient are low enough to make short-term excursions immaterial.
Customs and legal considerations are separate from thermal ones and are the more consequential risk in most jurisdictions.
Lyophilised solids tolerate ambient transit. That is the whole answer for most orders.