In the light of the recent high quality data of the cosmic microwave backgr
ound anisotropies, several estimations of cosmological parameters have been
published. We study to what extent these estimations depend on assumptions
about the initial conditions of the cosmological perturbations, which are
usually supposed to be adiabatic. We show that, for more generic initial co
nditions, not only the best fit values are very different but the allowed p
arameter range enlarges dramatically. This raises the question which cosmol
ogical information (matter content of the Universe vs physics of inflation)
can be reliably extracted from these data.