You can't buy red wine with the name champagne, that's a silly notion. I expect champagne to match not only the wine type, but also quality requirements, specific production methods, grape types, and yes also area of production.
That's exactly the point I was making, a different variety of wine wouldn't be champagne. And it would behoof you to note the order of matching you yourself presented. Area of production comes last.
Just wait until the Germans join the fun, with Hamburg having the copyright on Hamburgers and Frankfurt on Frankfurters.