  In this note we are interested in labelling the irreducible representations
of non-semisimple specialisations of Hecke algebras of complex reflection
groups. We will use category O for the rational Cherednik algebra and the KZ
functor together with elementary algebraic and combinatorial arguments to
construct "canonical basic sets" in many cases. We will also show that the
images of the standard modules through the KZ functor agree with the
appropriate cell modules, whenever the Hecke algebra has a cellular structure.
