Equality of induced and non-induced Euclidean Ramsey numbers

Determine whether, for every finite graph $H$, the induced and non-induced Euclidean Ramsey functions satisfy ${^n}{H}=#2{^n}{H}$ whenever the dimension $n$ is sufficiently large in terms of $H$.

Background

The paper gives an example where the induced and non-induced quantities differ in the plane and asks whether this discrepancy disappears in sufficiently high dimension.

References

Is it true that for each graph $H$, we have ${n}{H} = #2{n}{H}$ provided that $n$ is sufficiently large in terms of $H$?

— Ramsey problems for graphs in Euclidean spaces and Cartesian powers  (2512.15516 - Axenovich et al., 17 Dec 2025) in Question Q_ind, Section 6.2 (Growing dimension)