Hang on. A 1950s dishwasher would have a fiendishly complicated mechanical time switch thinger to control its sequence of squirting, pumping, heating and whatever, which wouldn't be fazed by the door interlock cutting the power mid-sequence, and the main risk comes from the sudden steaming-up of your glasses. But this is The Future, and if the 20th century has taught us anything it's "moar microcontrollers, moar better". It seems entirely plausible that a modern dishwasher, equipped with regulation Ministry Of Crap Design internet-of-shit firmware, would reset to the beginning of the cycle after opening the door. And then blab about the resulting carbon emissions to all your friends on TwitFace.
Best to play it safe and go to the chippy.