The results of the dynamical core-corona initialisation framework in p--p and Pb--Pb collisions at the LHC
energies are presented. We extract the fractions of final hadron yields originating from equilibrated
and non-equilibrated matter as a function of multiplicity. We show that the contribution from non-equilibrated matter is non-negligible even in intermediate and central Pb--Pb collisions. The particle production from non-equilibrated matter behaves as a correction on $c_2\{4\}$ that is purely obtained from the equilibrated matter.
The result poses a warning on Bayesian parameter estimation with conventional hydro models. The observed flow coefficients might need a reinterpretation with new dynamical models which incorporate the particle production from non-equilibrated matter.