  The AMS-02 experiment has provided high-precision measurements of several
cosmic-ray (CR) species. The achieved percent-level accuracy gives access to
small spectral differences among the different species and, in turn, this
allows scrutinizing the universality of CR acceleration, which is expected in
the standard scenario of CR shock acceleration. While pre-AMS-02 data already
indicated a violation of the universality between protons and helium, it is
still an open question if at least helium and heavier nuclei can be reconciled.
To address this issue, we performed a joint analysis using the AMS-02 CR
measurements of antiprotons, protons, helium, helium 3, boron, carbon,
nitrogen, and oxygen. We explore two competing propagation scenarios, one with
a break in the diffusion coefficient at a few GVs and no reacceleration, and
another one with reacceleration and with a break in the injection spectra of
primaries. Furthermore, we explicitly consider the impact of the uncertainties
in the nuclear production cross-sections of secondaries by including nuisance
parameters in the fit. The resulting parameter space is explored with the help
of Monte Carlo methods. We find that, contrary to the naive expectation, in the
standard propagation scenarios CR universality is violated also for He, on the
one hand, and C, N, and O, on the other hand, i.e., different injection slopes
(at the level of $ \Delta \sim 0.05$) are required to explain the observed
spectra. As an alternative, we explore further propagation scenarios, inspired
by non-homogeneous diffusion, which might save universality. Finally, we also
investigate the universality of CR propagation, i.e., we compare the
propagation properties inferred using only light nuclei ($\bar{p}$, p, He,
$^3$He) with the ones inferred using only heavier nuclei (B, C, N, O).
