The blue-edge density conjecture for the diamond-free process

Let $G_M$ be the final graph produced by the diamond-free process, and let $G_{blue}$ denote its subgraph of blue edges. Write $e(G)$ for the number of edges of a graph $G$.

Blue-edge density conjecture. As $n\to\infty$,

$$e(G_{blue}) = \left( \frac{2}{3} + o(1) \right)e(G_M).$$

The theorem preceding this conjecture establishes the analogous estimate at the intermediate time $m$, with high probability. The authors expect the same asymptotic proportion to persist in the final graph, but the statement is presented as an unproved conjecture.