Stress-freeness of generic diameter frameworks in R4

Determine whether the diameter framework of every finite set of points in R^4 in general position, with no five points lying on a hyperplane, is stress-free.

Background

The paper notes that not all maximal diameter frameworks in R4 are stress-free because four-dimensional diameter graphs may have quadratically many edges. It nevertheless asks whether the general-position condition that no five points lie on a hyperplane forces the diameter framework of an arbitrary finite point set in R4 to be stress-free.

References

Suppose $X\subset R4$ is a finite set of points in general position, i.e. no five lie on a hyperplane. Is it true that the diameter framework of $X$ is stress-free?

— Geometric Realizations with Strong Self-Duality Part II: Diameter Graphs, Reuleaux Polyhedra, and Thrackles  (2610.06340 - Damásdi, 5 Oct 2026) in Section 12, subsection “Stress-free diameter frameworks in higher dimensions,” second question