Don’t get me started on folks who are not offended if someone has an Italian flag sticker on their car, or an Irish flag handing from their house, yet freaks if they see a Puerto Rican or Mexican flag.
I've had coworkers who were either Norwegian, Finnish, etc. and part of various Scandinavian organizations. By the way, I admired and respected them and feel no ill will towards them at all. And they have helped me with my job. But occasionally, they would make this comment that they had to be careful about promoting their heritage for political reasons. That it wasn't politically correct for them to do so. And maybe so, I dunno.
But if one were to take all of society at large, it is still far more politically acceptable for a European American to promote their culture in America than a non-European American.
Yes, you are right, I've seen those "Proud to be Irish" stickers, "Proud to be Danish", or Swedish, etc. and it doesn't seem to raise an ire. But yes, a Mexican or Puerto Rican flag would raise peoples ire. As well as Indian, Chinese, Japanese, etc. flag.
So, I do wonder sometimes, when people of European descent complain about shouldering the burden of political correctness, that it isn't non-Europeans that are still doing so. I couldn't very well parade around in a Japanese, Korean, or Chinese flag on my jacket the way someone of European heritage could.