Two-point conjecture for Riesz capacity ratios

Let $n\geq 2$, let $q<p<0$, and let $K\subset\mathbb R^n$ be compact with more than one point. The quantities $\operatorname{Cap}_p(K)$ and $\operatorname{Cap}_q(K)$ are the corresponding Riesz capacities. Two-point conjecture. Among such sets $K$, any set consisting of exactly two points maximizes

$$\frac{\operatorname{Cap}_q(K)}{\operatorname{Cap}_p(K)}.$$

This concerns the region below the diagonal $q<p$ and is presented as a new conjecture; no proof or resolution is supplied in the source.