Euclidean distance degree conjecture for point resectioning varieties

For a generic configuration of $n$ points, let $\mathcal{R}^{N,h}_n$ denote the corresponding point resectioning variety, and let $\mathrm{EDD}$ denote its Euclidean distance degree. Resectioning EDD conjecture. $\mathrm{EDD}(\mathcal{R}^{N,h}_n)$ equals a degree-$N$ polynomial in $n$ for all $n\ge N+2+\left\lfloor\frac{N}{h}\right\rfloor$. This extends the expected eventual polynomial behavior of Euclidean distance degrees for resectioning varieties; the preceding discussion notes that computational experiments suggest a degree much lower than the initially expected degree $Nh+N+h$, but gives no resolution beyond the conjecture.