  A three-terminal conductor presents peculiar thermoelectric and thermal
properties in the quantum Hall regime: it can behave as a symmetric rectifier
and as an ideal thermal diode. These properties rely on the coherent
propagation along chiral edge channels. We investigate the effect of breaking
the coherent propagation by the introduction of a probe terminal. It is shown
that chiral effects not only survive the presence of incoherence but they can
even improve the thermoelectric performance in the totally incoherent regime.
