  In this short note we show that the lower bounds of Mangoubi on the inner
radius of nodal domains can be improved for quantum ergodic sequences of
eigenfunctions, according to a certain power of the radius of shrinking balls
on which the eigenfunctions equidistribute. We prove such improvements using a
quick application of our recent results (arXiv:1606.02057), which give modified
growth estimates for eigenfunctions that equidistribute on small balls. Since
by the results of Han and Hezari-Rivi\`ere small scale QE holds for negatively
curved manifolds on logarithmically shrinking balls, we get logarithmic
improvements on the inner radius of such manifolds. We also get improvements
for manifolds with ergodic geodesic flows. In addition using the small scale
equidistribution results of Lester-Rudnick, one gets polynomial betterments of
for toral eigenfunctions in dimensions $n \geq 3$. The results work only for a
full density subsequence of eigenfunctions.
