  We study the statistics of various large-scale structure tracers in
gravity-only cosmological simulations including baryons and cold dark matter
(CDM) initialized with two different transfer functions, and simulated as two
distinct fluids. This allows us to study the impact of baryon-CDM relative
perturbations on these statistics. In particular, we focus on the statistics of
cosmic voids, as well as on the matter and halo real-space 2-point correlation
function and baryon acoustic oscillations (BAO) peak. We find that the void
size function is affected at the 1-2% level at maximum, and that the impact is
more important at higher redshift, while the void density profile and void bias
are roughly unaffected. We do not detect a sizeable impact of relative
baryon-CDM perturbations on the real-space correlation functions of matter and
halos or the BAO peak, which is in line with results from previous works. Our
results imply that it would be hard to use voids or real-space correlation
functions to constrain baryon-CDM relative perturbations, but also that we
might not have to include them in models for the analysis of future
cosmological surveys data.
