I did not experience random crashes while moving around, but many/most of my save games from act 3 do crash on loading. The one playthrough without any corrupted saves is the one where I am doing a solo run, so it is probably related to some companion quest or something like that. On successfully loading these from earlier chapters a bunch of inspiration events pop up instantly. I guess one of these is the source of the crash.
Once again, a patch makes the games worse than before. I guess the next patch will make the game unable to start at all.