Schneider's conjecture on étale cohomology

Let $L/K$ be a finite Galois extension of number fields, let $S$ be the relevant finite set of places of $K$, let $p$ be an odd prime, and let $r\ne0$ be an integer. Schneider's conjecture. The cohomology group

$$H^2_{\mathrm{\acute{e}t}}(\mathcal O_{L,S},\mathbb Q_p/\mathbb Z_p(1-r))$$

vanishes. This conjecture supplies a key finiteness and vanishing input for the paper's leading-term and annihilation results; no resolution is given in the supplied text.