  If weak scale supersymmetry (SUSY) is to somehow explain the radiative
stability of the Higgs boson mass, it is likely that non-minimal variants of
SUSY models should be considered. Under the assumption that the dark matter of
the universe is comprised of neutralinos, recent limits from direct detection
experiments as well as dark matter abundance measurements place stringent
bounds on the naturalness of minimal supersymmetric models. We show that even
non-minimal models introducing moderately decoupled new physics in order to
address the Higgs boson mass problem face similar issues, with one interesting
exception.
