On semiproportional columns in the character tables of the groups $\mathrm{Sp}_4(q)$ and $\mathrm{Sp}_4(q)$ for odd $q$

Previously the author stated the following conjecture: if two columns of the character table of a finite group corresponding to two of its classes of conjugate elements are semiproportional, then the cardinality of one of these classes divides the cardinality of the other. We obtain a new confirmation of this conjecture. Namely, the conjecture is verified for the symplectic groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$ for odd $q$. For even $q$ the conjecture was proved by the author earlier.