Gaussian torsional rigidity exponent conjecture for centrally symmetric convex sets

Let $\Omega_0$ and $\Omega_1$ be open, bounded, centrally symmetric subsets of $\mathbb{R}^n$, and let $t\in[0,1]$. Write

$$\Omega_t=(1-t)\Omega_0+t\Omega_1.$$

The Gaussian torsional rigidity of a set $\Omega$ is denoted by $T_\gamma(\Omega)$. Gaussian torsional rigidity exponent conjecture. One should have

$$T_\gamma(\Omega_t)^{1/3}\leq (1-t)T_\gamma(\Omega_0)^{1/3}+tT_\gamma(\Omega_1)^{1/3}.$$

Equality should hold if and only if $\Omega_0=\Omega_1$. This conjecture extends the proved ball case to centrally symmetric convex sets; the source gives no resolution for the general case.