  In this short note, we prove that $\alpha$-concavity of the pressure is not
preserved for the porous medium equation in dimensions $n=3$ and higher for any
$\alpha\in [0,1]\backslash \{\frac{1}{2}\}$. Together with the result of
Chau-Weinkove for $n=2$, this fully resolves an open problem posed by V\'asquez
on whether pressure concavity is preserved in general for the porous medium
equation.
