

You seem to be assuming that the volume is immediately replaced by the external atmosphere, which I doubt is valid
No, I was assuming your volume decreases. I don’t actually know that to be the case, but my assumption is that there isn’t “extra” space inside a person, and so if you lose material from a part of your body that isn’t encased in anything rigid your volume decreases slightly.
So maybe I did have my terminology wrong. When a hot air balloon deflates, it falls. The density went up, but that’s not what’s directly relevant. The weight went down, I guess, but the “number on the scale”, weight minus buoyant force, went way way up, because it lost some lower-density volume that was making the whole thing float. The weight (in a strict physics sense) went down, sure. But the number on the scale (which I was incorrectly calling “weight”) went up. Same thing for a farting person.
In the olden times, it was a big point of pride of American politics that a lot of people didn’t want to kill the leaders. It was sort of assumed that in feudal style European politics, of course the common people kind of wanted to kill you, because you were threatening their safety and taking their stuff. In America, the way we did things was to earn the respect of the people you governed. The people actually wanted this person to be in charge. Why would I shoot that guy? That’s who we picked, we like him.
Of course there are some caveats (slavery large among them). The reality never matched up to the ideal. But we’re going back to where even the approximation of consent of the governed that we used to have, isn’t assumed anymore. Fuckin bullshit