Han's eigenvariety dimension conjecture for $G$

Let $G$ be the reductive group considered in the paper, let $K=K^p\mathrm{Iw}$ be Iwahori level at $p$, and let $\sE_K^G$ be its eigenvariety. Let $x\in\sE_K^G$ be a non-critical cuspidal classical point of regular weight. Han's eigenvariety dimension conjecture. Every irreducible component of $\sE_K^G$ containing $x$ has dimension $n+1$. This prediction, following work of Urban and attributed here to Han, gives the expected dimension of eigenvariety components through suitably regular classical points; the source does not state a resolution in the generality given.