  Hochst\"attler, Kirsch, and Warzel showed that the semicircle law holds for
generalized Curie-Weiss matrix ensembles at or above the critical temperature.
We extend their result to the case of subcritical temperatures for which the
correlations between the matrix entries are stronger. Nevertheless, one may use
the concept of approximately uncorrelated ensembles that was first introduced
in the paper mentioned above. In order to do so one needs to remove the average
magnetization of the entries by an appropriate modification of the ensemble
that turns out to be of rank 1 thus not changing the limiting spectral measure.
