You've sidestepped the main point, which was that they first escalated and then you've made it the other person's responsibility to de-escalate. I'm asking why it is not the original persons' responsibility to pick their words carefully so as to not escalate in the first place.
I just replied at the bottom of the thread. I'm not trying to single you out. Everyone has their part to play, but someone has to go first.
[As an aside, I just realized this is where a neutral arbiter can be valuable, someone who can say calmly what either side can't. I am thinking specifically about a STTNG episode.]