  We modify the chemo-dynamical code GEAR to simulate the impact of
self-interacting dark matter on the observable quantities of 19 low mass dwarf
galaxies with a variety star forming properties. We employ a relatively high,
velocity independent cross-section of $\sigma/m = 10$cm$^2$/g and extract, in
addition to integrated quantities, the total mass density profile, the
luminosity profile, the line-of-sight velocities, the chemical abundance and
the star formation history. We find that despite the creation of large cores at
the centre of the dark matter haloes, the impact of SIDM on the observable
quantities of quenched galaxies is indiscernible, dominated mostly by the
stochastic build up of the stellar matter. As such we conclude that it is
impossible to make global statements on the density profile of dwarf galaxies
from single or small samples. Although based mostly on quenched galaxies, this
finding supports other recent work putting into question the reliability of
inferred cored density profiles that are derived from observed line-of-sight
velocities.
