No, because beer-drinking is universal, even on Oktoberfest. However, people saying "Top of the Morning To Ye" in a terrible Irish Accent on St Patrick's day IS cultural appropriation.
The Irish just put up with it (while cringing), because it's hardly the worst thing that's ever happened to them.
But that raises another question. Most other groups have had bad stuff happen to them. Even the great imperialist powers like Britain and Spain were conquered by the Romans at one point. The Mongols used to push the Russians around.
(And beer is hardly universal...it's
verboten, er,
haram in most Muslim countries for instance.)
I have neither Romanian nor Japanese ancestry. If I were to make a game set in Romania, I'd probably get little blowback. Japan, I'd probably get protests. This is true even though Japan is vastly wealthier (one of the wealthiest nations in the world, in fact) and is quite successful at monetizing their culture. (Anime and manga are much more popular than American comic books and cartoons in the USA now, from what I can tell.)
The Irish have a long and painful history of exploitation and oppression. (How many starved to death in the potato famine?) Yet I don't think anyone would complain if I wrote another pseudo-Celtic fantasy novel (though I'd have a hard time getting any attention). Similarly, Poland gets dismembered by its neighbors every few hundred years, but I doubt if I wanted to make a game based on Polish folktales anyone would complain. (I've actually got some ancestry there, but it's complicated.)
Which cultures are 'public domain'? It's obviously not a matter of current wealth, or Japan and Qatar would be kosher. Ability to profit off their own cultural products? Japan again, and China and South Korea (Chinese movies are starting to outsell American ones just because their domestic market is so huge). Add in India--they make a lot of money off Bollywood movies. As for past oppression, well, most countries have that, but there are plenty of European countries like Poland, Hungary, Ireland, and Ukraine with miserable histories of being pushed around by the larger powers in their neighborhood.