We explain our contribution to a recent joint paper (of the same title) with Cunningham, Hazeltine, Liu, Lo, Ray and Xu (arXiv: 2611.03342). This uses for the Langlands dual group of a reductive group over a p-adique field the micro-local geometry of equivariant perverse sheaves on the Vogan variety, a moduli space for suitable L-parameters. We improve two approaches to micro- and ABV-packets via equivariant microlocalization and vanishing cycles, and identify them via stratified Morse theory for constructible sheaves. A new fixed point formula for vanishing cycles allows to understand via a geometrization the endoscopic transfer of the associated stable distributions. As an application my coworkers prove Vogan's conjecture on local Arthur packets for quasisplit classical groups and their pure inner forms.