Ruas's conjecture on Whitney equisingularity of surface families

Let $f:(\mathbb{C}^2,0)\rightarrow(\mathbb{C}^3,0)$ be a finitely determined map germ, and let $F:(\mathbb{C}^2\times\mathbb{C},0)\rightarrow(\mathbb{C}^3\times\mathbb{C},0)$ be a $1$-parameter unfolding of $f$, written as $F(x,t)=(f_t(x),t)$. Let $D(f_t)$ denote the double point curve of $f_t$, and let $\mu(D(f_t))$ be its Milnor number. Ruas's conjecture. If $\mu(D(f_t))$ is constant, then $F$ is Whitney equisingular. This conjecture proposes that constancy of the Milnor number of the double point curve is the unique necessary and sufficient invariant controlling Whitney equisingularity in these families; the converse of Whitney equisingularity implying topological triviality is asserted for this setting, but the supplied text gives no resolution.