I feel like this scenario would occur similarly if the stove was on a runaway and I opened the door.
As long as you first open the door just a crack for a few seconds, before you swing it wide open, it'll be fine. Most stoves these days (except cats and downdrafts) don't even have a bypass damper, so that step is not as critical, but still acts to increase the draft for a moment. As soon as you open the door all the way, you kill the draft.
You can try this pretty easily without first having your stove go nuclear. Just get a good fire going with plenty of air, and bypass open, so that you are not producing too much smoke. Crack the door a few seconds, then open it wide. If the fire is well-established and your draft is good, you should have little or no smoke spill.
After a few moments you will basically have a fireplace in a box. It will burn bright, but not a raging inferno that keeps driving stove temps up and up. Some stoves have screens made for open-door burning, so you could run your stove this way (inefficiently) for hours at a time, if you liked.
I leave the door wide open quite often when I have a good bed of red-hot coals, place a few bricks and a grill in the firebox, and cook up a few steaks. Better than charcoal!