  Recently, two measures of electroweak finetuning (EWFT) have been introduced
for SUSY models: \Delta_{EW} compares the Z mass to each separate weak scale
contribution to m_Z while \Delta_{HS} compares the Z mass to high scale input
parameters and their consequent renormalizaton group evolution (1/\Delta is the
% of fine tuning). While the paradigm mSUGRA/CMSSM model has been shown to be
highly finetuned under both parameters (\Delta_{EW}> 10^2 and \Delta_{HS}>
10^3), the two-parameter non-universal Higgs model (NUHM2) in the context of
radiatively-driven natural SUSY (RNS) enjoys \Delta_{EW} as low as 10, while
\Delta_{HS} remains > 10^3. We investigate finetuning in the 19-free-parameter
SUGRA model (SUGRA19). We find that with 19 free parameters, the lowest
\Delta_{EW} points are comparable to what can be achieved in NUHM2 with just 6
free parameters. However, in SUGRA19, \Delta_{HS} can now also reach as low as
5-10. The conditions which lead to low \Delta_{HS} include m_{H_u} m_Z at the
high scale, with non-universal gaugino masses M_{1,2}>> M_3 also at m_{GUT}.
The low \Delta_{HS} models are severely constrained by b\to s\gamma branching
fraction. In both cases of low \Delta_{EW} and \Delta_{HS}, the superpotential
\mu parameter should be \sim 100-300 GeV. While SUSY models with low EWFT may
or may not be discoverable at LHC, the predicted light higgsinos must show up
at a linear e^+e^- collider with \sqrt{s}> 2|\mu |.
