Conjecture on the sequential topological complexity of quaternionic space forms

Let $Q_{8m}$ denote the generalized quaternion group of order $8m$ acting freely on $S^3$, and let $r$-th sequential topological complexity be denoted by $\mathsf{TC}_r$. Sequential topological complexity conjecture. For $m\ge 1$, the $r$-th sequential topological complexity of $S^3/Q_{8m}$ is equal to $3r$.

This conjecture concerns the growth of higher topological complexity for spherical space forms and would provide an affirmative instance of the rationality behavior asked about for sequential topological complexity. Its resolution is not stated in the source.