or that I was trying to make some sort of implicit comparison to terms like “people of colour”, [...]
Honestly that just seems like people reading too much into things, even though "people of NATO" is still a really unusual and imprecise phrasing. If English is your second language and it was sort of a heat-of-the-moment edit, then phrasing things oddly is understandable, and it's really bad that people were assuming ill intent just because of unusual phrasing.
Anyways, sorry if I've been too impolite and added too much to your stress, you do good work overall (and if this seems like groveling, sorry about that, too) — I'm not going to change my views, but it's also probably best not to keep prodding at such differences, in your den. I wasn't aware of this unwritten rule when I signed up and I'll make sure to respect it regardless of how I feel about it.