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Small collision systems, e.g. $p$-$p$ and $p$-Pb collisions, comprise apotential reference for more-central A-A collisions with regard to production(or not) of a thermalized quark-gluon plasma (QGP). Small systems with lowparticle densities should evolve according to simple QCD mechanisms includingprojectile-nucleon dissociation and dijet production. But it is now claimedthat QGP may appear even in $p$-$p$ collisions based on apparent evidence forradial flow from shape evolution of $p_t$ spectra and from variation of totalyields for strange and multistrange hadrons relative to statistical models. Thepresent study confronts such arguments with a detailed analysis of $p_t$spectra for strange and multistrange hadrons from 5 TeV $p$-Pb collisions and13 TeV $p$-$p$ collisions via a two-component model (TCM) of hadron production.Based on previous analysis of lighter hadrons the TCM accurately predictsspectra for Cascade and Omega hadrons. Significant results include multistrangehadron spectra dominated by jet fragments, variation of strange-hadronabundances exaggerated by certain plot formats and spectrum extrapolations, anddetailed relations between ensemble-mean $\bar p_t$ evolution with event chargedensity and small shifts of jet fragment distributions on $p_t$. Within thecontext of the TCM, $p$-$p$ and $p$-Pb collision systems with comparable jetcontributions are found to be equivalent within data uncertainties. Attributionof certain data features to radial flow is falsified.

Systematic analysis of (multi)strange hadron $p_t$ spectra from small collision systems at the large hadron collider