  I readdress the issue whether the topological charge of the gauge background
has an influence on a hadronic observable. To this end pion correlators in the
Schwinger model with 2 dynamical flavours are determined on subensembles with a
fixed topological charge. It turns out that the answer depends on a specific
function of the sea-quark mass and the box volume which is in close analogy to
the Leutwyler-Smilga parameter in full QCD.
