  The dipolar model \cite{Gordon:2005ai} has attracted much interest because it
may phenomenologically explain the CMB hemispherical power asymmetry found in
the WMAP and Planck data. Since such a model explicitly breaks isotropy at
large angular scales it is natural to wonder whether it can also explain other
CMB directional anomalies. Focusing on the low $\ell$ alignments and assuming
$\Lambda$CDM, we confirm that the quadrupole/octupole and the
dipole/quadrupole/octupole alignments are anomalous with a significance up to
$99.9\%$ C.L., for both WMAP and Planck data. Moreover, we show for the first
time that such features are anomalous also in the dipolar model, roughly at the
same level as in $\Lambda$CDM. We conclude that the dipolar model does not
provide a better fit to the data than the $\Lambda$CDM.
