Ok so they said in the TGS stream, after playing the trailer, that there's "some things under wraps but they've shown most of the good stuff". So for anyone who hoped they had some amazing secret for the SE, that doesn't seem to be the case. They're trying to keep Vergil's moveset largely a secret, so it's pretty safe to say that those "things under wraps" are his moves (and maybe some costumes... maybe). So no Lady's Night, no full fledged coop, no Vergil campaign practically confirmed.
They did show about 10 seconds of Vergil gameplay with what seemed a brand new Yamato move as a teaser, so as a good news, there's at least hope that they expanded his moveset.
Rest of the presentation was just showing off Ray Tracing, Turbo mode and LDK.