Lu et al.'s odd-cycle Cartesian product conjecture

Let $C_r$ denote the cycle on $r$ vertices. Lu et al.'s conjecture. For positive integers $m,n$,

$$\chi_\ell(C_{2m+1}\Box C_{2n+1})=3.$$

The supplied text establishes the corresponding values for products involving even cycles but says that the list chromatic number for two odd cycles remains unresolved.