Stress-free geometric graph conjecture

Let $G$ be a geometric graph embedded in $\mathbb R^d$, with edges joining pairs at the diameter distance. Call $G$ stress-free if there are no not-all-zero edge weights whose weighted edge vectors sum to zero at every vertex. Stress-free geometric graph conjecture. If $G$ is a stress-free geometric graph of diameters in $\mathbb R^d$, then $G$ is $(d+1)$-colorable. The source presents this as the finite case of its transversality conjecture and gives no resolution status.