Packing–saturation equivalence conjecture for triangles

Let $P_r(2)$ be the $r$-colour $2$-clique packing number, and let $\mathrm{sat}_r(K_3)$ be the corresponding $r$-colour saturation parameter. Here $f(r)=\Theta(g(r))$ means that $f(r)$ and $g(r)$ are within constant factors.

Packing–saturation conjecture.

$$P_r(2)=\Theta\bigl(\mathrm{sat}_r(K_3)\bigr).$$

The conjecture concerns whether the two parameters have the same asymptotic order. The source presents it as a more modest open question after discussing possible separation between semisaturation and saturation.