Certainly there have both been cases were US police busted doors in response to swatting, e.g. [1] and killed someone in response to swatting, e.g. [2]. Admittedly I'm not sure if they ever happened simultaneously, nor do I think that's relevant to any of the points I have made. The points I made were
- People have been killed while attempting to comply with police orders, which incidentally [2] is an example of (as well as an example of swatting).
- Busting doors during actual hostage situations would get people killed, not swatting. [3] is a particularly powerful example of that...
[1] https://www.youtube.com/watch?v=OVkQ-yheOEE
[2] https://www.nbcnews.com/news/us-news/wichita-officer-who-kil...
[3] https://www.washingtonexaminer.com/news/video-four-dead-in-p...
Nobody busted down the doors here; in fact, in no US swatting fatality have the police ever busted doors down.
"First do no harm" is not a universal norm. It applies to medicine because so much of what happens in medicine is in some sense elective; there is an option not to intervene. No such option exists in distress call situations.
I don't think axiomatic reasoning is going to solve the problem of swatting. It's also noteworthy that, even in this case, it wasn't just the police who were tricked into intervening; the swatters got a strange man to break into the victim's house by spoofing messages on Grindr.