  We study a quasicategory variant of the stratified Grassmannian of Ayala,
Francis and Rozenblyum, which bypasses the theory of conically-smooth
stratified spaces. We prove that its maximal sub-$\infty$-groupoid is
equivalent, non-canonically, to $\ast\amalg\mathbb{Z}_+\times\coprod_{k\geq1}
B\mathrm{O}(k)$.
