Let's apply that same reasoning on a different scale.
Rome violently occupied most of Europe and forced its culture on to those peoples. Therefore, most Europeans may eat as much pizza as they like. But if an Italian so much as looks at a croissant or wears pants, they've done A Cultural Appropriation.
Your example would stand if Rome was the #1 economic power, was also the #1 producer of movies in the world, exported it's myths and culture all around the world all year long, forced their neighboring countries into trade partnerships to make sure Rome's products (including their music, movies, beverages etc.) weren't blocked from competing with local products.
Then yes, people could be pissed at Rome companies also producing "Rome croissant" that were to globally compete with French croissants and take their place on other countries' shelves.
Rome violently occupied most of Europe and forced its culture on to those peoples. Therefore, most Europeans may eat as much pizza as they like. But if an Italian so much as looks at a croissant or wears pants, they've done A Cultural Appropriation.
Seems sensible to me!