Yeah, basically no successful American social media company advertises itself as being American. And its users do not think of it as "an American company," they just think of it as its own thing.
That might be true for social media, but there are 100s of American brands that make a large point of being thought of as an "American company" or "American made" goods.
That’s because the reference to America implies quality in the good the customer is buying. American-made jeans are perceived as higher quality goods than X-made ones.
No one uses social media networks because they care about the quality of the platform. They use them to stay connected with friends and family, to meet new people, or to be entertained.
I think that's when selling inside America but I don't remember seeing any american company proudly advertising its product as "American". I'd wager that today they want to hide that fact.
Does the average non-HN type in Europe hold comparable pan-European or even plain National Pride? I think here of the German national relationship with their own flag and feel skeptical of a comparison here.
This is becoming a thing in computing because sovereignty suddenly matters in the new context.
France pushes its SecNumCloud standard for critical infrastructure or handling of critical data (ex: health) through law.
So, this may not be about pride, but the result is similar.
From my observation both studying and working abroad in the Netherlands, France, Germany, Finland and Latvia, people almost always tend to cluster along ethnic or linguistic lines in another European country. This stays invariant even if the command of English is perfect. Pan-European national identity is very much non-existent, ethno-lingustic patriotism very much is alive.
Sample size of 1, but my primary connection is my state (SH) in Germany, then European. I feel less of a connection to my country.
There was a map some time ago about who had what connections on the regional, country, and EU level. Iirc EU was almost never number one, but got quite a few second places.