The Pro-p Elementary Type Conjecture

Let $F$ be a field containing a root of unity of order $p$, and let $G_F(p)$ be its maximal pro-$p$ Galois group. Let $\mathfrak{B}$ be the class of standard building blocks and let $\mathrm{ET}(\mathfrak{B})$ denote the associated class of elementary type pro-$p$ pairs; write $\mathcal{G}_F(p)$ for the corresponding cyclotomic pro-$p$ pair. The Pro-$p$ Elementary Type Conjecture. If $G_F(p)$ is finitely generated as a pro-$p$ group, then

$$\mathcal{G}_F(p)\in\mathrm{ET}(\mathfrak{B}).$$

This predicts a structural classification of finitely generated maximal pro-$p$ Galois groups. The supplied source gives no resolution evidence.