  Without any shred of evidence for new physics from LHC, the last hiding spots
of natural electroweak supersymmetry seem to lie either in compressed spectra
or in spectra where scalars are suppressed with respect to the gauginos. While
in the MSSM (or in any theory where supersymmetry is broken by the $F$-vev of a
chiral spurion), a hierarchy between scalar and gaugino masses requires special
constructions, it is automatic in scenarios where supersymmetry is broken by
$D$-vev of a real spurion. In the latter framework, gaugino mediated
contributions to scalar soft masses are finite (loop suppressed but not
$\log$-enhanced), a feature often referred to as "supersoftness". Though
phenomenologically attractive, pure supersoft models suffer from the
$\mu$-problem, potential color-breaking minima, large $T$-parameter, etc. These
problems can be overcome without sacrificing the model's virtues by departing
from pure supersoftness and including $\mu$-type operators that use the same
$D$-vev, a framework known as generalized supersoft supersymmetry. The main
purpose of this paper is to point out that the new operators also solve the
last remaining issue associated with supersoft spectra, namely that a right
handed (RH) slepton is predicted to be the lightest superpartner, rendering the
setup cosmologically unfeasible. In particular, we show that the
$\mu$-operators in generalized supersoft generate a new source for scalar
masses, which can raise the RH-slepton mass above bino due to corrections from
renormalisation group evolutions (RGEs). In fact, a mild tuning can open up the
bino--RH slepton coannihilation regime for a thermal dark matter. We derive the
full set of RGEs required to determine the spectrum at low energies. Beginning
with input conditions at a high scale, we show that completely viable spectra
can be achieved.
