EKR property conjecture for the remaining primitive groups of degree a product of two odd primes

Let $G$ range over the groups listed in Table 2 of the source, namely the remaining socles of primitive groups of degree $pq$ that do not admit imprimitive subgroups, where $p$ and $q$ are distinct odd primes. Recall that a transitive permutation group has the Erdős–Ko–Rado (EKR) property when its intersection density satisfies $\rho(G)=1$. EKR property conjecture. Every group in the table has the EKR property. These groups are precisely the remaining families left to check after the paper establishes the property for the other relevant imprimitive and primitive cases; the source gives no resolution of this conjecture.