  We know $L_e-L_\mu-L_\tau$ symmetry gives $m^2_1= m^2_2 >> m^2_3$ pattern in
Zee model. $\Delta m^2_\odot$ emerges from a small breaking of this symmetry.
Because this symmetry is broken very weakly $\theta_\odot$ does not deviate
much from $\tan^2 \theta_\odot=1$ which is its value in the symmetric limit.
This gives a mismatch with LMA solution where mixing is large but not exactly
maximal. We confront this property of Zee mass matrix by phenomenologically
analyzing recent results from solar and atmospheric neutrino oscillation
experiments at various confidence levels. We conclude that LOW type solution is
compatible with the Zee mass matrix at 99% confidence level when atmospheric
neutrino deficit is explained by maximal $\nu_\mu \leftrightarrow \nu_\tau$
oscillation. Thus the minimal version of the Zee model even though disfavored
by the LMA type or VO type solutions, is compatible with LOW type solution of
solar neutrino problem.
