I don't understand any of this.

Probably because of their proximity with the USA, the french-speaking community in Québec is far more attached to using French than actual French people. That's why in France we use "Stop" and not "Arrêt".

On the other hand, ".gouv.fr" is something used in France. gouv[ernement] is completely different than go[u]v[ernement] Not only because of its pronunciation, but also because it's not a simple shortening of the original word.

We never use "aso" to talk about an "association", even though it would shorten it even more, because it just doesn't make sense. You can remove the ending of a word, creating a kind of "prefix", bug it you remove multiple part of a word it just become something different.