A funny thing happened to me yesterday. I failed to intimidate Crusher and during the ensuing fight Shadowheart got downed and was making death saving throws when Crusher surrendered. When the dialogue scene came up, I panicked and immediately switched to an outside-of-dialogue character to try to save her from dying. To my surprise, Shadowheart was alive and standing at the spot she had been lying a second ago, despite her hit points still being marked 0. I was able to have her move and act normally, including cast Cure Wounds on herself.