We point out that a field theory that exhibits the classicalization<br />
phenomenon for perfect spherical symmetry ceases to do so when the spherical<br />
symmetry is significantly relaxed. We first investigate a small non-spherical<br />
deformation and show that the classicalization radius tends to decrease in a<br />
region where a shell made of the field is slightly flattened. Next, in order to<br />
describe a sufficiently large flattened region, we consider a high-energy<br />
collision of planar shells and show that the system never classicalizes before<br />
reaching sub-cutoff lengths. This no-go result is further strengthened by an<br />
analysis of a small non-planar deformation. Finally, we show that the shape of<br />
a scattered planar wave is UV sensitive.