Conjecture on unramified motivic multiple t-values with repeated even components

Let $N$ be the set of positive integers, let $N_0=N\text{\cup}\{0\}$, and let $q$ be a composition all of whose components are at least two. For $e\text{\in}N$, write $\{2n\}_e$ for the sequence consisting of $e$ copies of $2n$. An MtV $t(\{2n\}_e,2m,\{2n\}_e,1,q)$ is called unramified when it has no ramified motivic contribution.

Unramified MtV conjecture. For $m,n,e\text{\in}N$ and with all components of $q$ at least two, the MtV

$$t(\{2n\}_e,2m,\{2n\}_e,1,q)$$

is unramified.

This is presented as a generalization of one of the paper's families of unramified motivic multiple $t$-values and is supported by strong numerical evidence. It remains open.