  In supersymmetric (SUSY) models the misalignment between fermion and sfermion
families introduces unsuppressed flavor-changing processes. Even if the mass
parameters are chosen to give no flavor violation, family dependent radiative
corrections make this adjustment not stable. We analyze the rate of l --> l'
gamma in SUSY-GUT models with three quasi-degenerate neutrinos and universal
scalar masses at the Planck scale. We pay special attention to a recently
proposed scenario where the low-energy neutrino mixings are generated from
identical quark and lepton mixings at large scales. We show that: (i) To take
universal slepton masses at the GUT scale is a very poor approximation, even in
no-scale models. (ii) For large neutrino Yukawa couplings the decay mu --> e
gamma would be observed in the planned experiment at PSI. (iii) For large
values of tanbeta the tau coupling gives important corrections, pushing mu -->
e gamma and tau --> mu gamma to accessible rates. In particular, the
non-observation of these processes in the near future would exclude the
scenario with unification of quark and lepton mixing angles. (iv) The absence
of lepton flavor violating decays in upcoming experiments would imply a low
value of tanbeta, small neutrino couplings, and large (>~ 250$ GeV)
SUSY-breaking masses.
