Density conjecture for étale-trivializable reductions

Keep the mixed-characteristic model $\pi:\mathcal X\to S$ and the vector bundle $E$ from the variation setup, and assume that $E$ is numerically flat. A bundle is étale trivializable if it becomes trivial after pullback along a finite étale cover. Étale-trivializable reduction conjecture. The set $\Sigma^{\mathrm{et}}$ of closed points $s\in S$ such that $\mathcal E_s$ is étale trivializable is infinite. This is part of the proposed description of strong semistability and reduction behaviour in mixed characteristic.