  It is widely believed that in the presence of a positive cosmological
constant, heavy black holes can exhibit non-standard behaviour, namely there is
a possibility that such objects would grow instead of evaporating. We point out
that all those results (obtained in different frameworks) rely heavily upon the
identification of the Nariai spacetime with the Schwarzschild--de Sitter
(Kottler) black hole. In this note we argue that it is an incorrect assumption.
As a result, previous treatments need revisiting. In particular, we show that
within effective action approach, there is no solution corresponding to the
Schwarzschild--de Sitter black hole.
