Higher-degree Erdős–Ginzburg–Ziv equality for equal parameters

Let $q$ be a positive integer and let $t$ be a parameter for which the generalized Erdős–Ginzburg–Ziv constant $4\mathsf{EGZ}({t},{q},{q})4$ and the generalized Davenport constant $4\mathsf{D}_{({},{q})}({\mathbb{Z}_q})4$ are defined. The conjecture.

$$\mathsf{EGZ}({t},{q},{q})=t+q^2-q=t+\mathsf{D}_{({},{q})}({\mathbb{Z}_q})-q.$$

This conjecture is motivated by the preceding theorem and computational evidence; the supplied text does not state whether it has been proved or disproved.