Example:
USA 美国 - 美 mean “beautiful” and 国 is “country”
So when my mom told me we were going to move to 美国, I, having never heard of anything about this country ever before, already had a positive impression of this “beautiful country”.
France 法国 - 法 is one of the characters in 法律, law, so my first impression was, that these people probably have very strict rules and are law abiders
Britain/UK 英国 - 英 is one of the characters in 英雄, hero, so I just imagine British people like to help the innocent (this was before I learned about British colonialism lol, but I guess the 英 character still sort of partly relevent, as in they view themselves as “hero”, aka: they interfere with other’s countries bussiness a lot)
Germany 德国 - 德 is one of the characters in 道德, morality, so I had a subconcious belief they were very moral people. I didn’t even know about the holocaust yet. 💀
Mexico 墨西哥 - 墨 is ink, 哥 is brother, so I though these are dark-skinned people that value brotherhood, masculinity.
South Korea 韩国 - 韩 sounds like 寒, so I just assumed it was a very cold country (isn’t it tho?) Oh BTW, I was in South Korea… in the airport waiting for a transfer flight, never actually entered the country for real, that was 15 years go, the closest I’ve ever been to South Korea. Wanna go there someday, see the snow (cuz its a 寒国 “cold country” remember xD)
Japan 日本 - 日 is the sun, so I thought it gets like very sunny or something
These are the few on the top of my head. You can mention any below and I can tell you what my “subconcious feel” about the name is.


Isn’t 国 more like land, country or kingdom?

So less to do with being the centre of the world and more like the central region of a nation, broadly speaking. But also I’m not a native speaker so I’m not trying to argue against your observation, just looking for clarification.
I’ve heard it referred to as The Middle Kingdom, so this makes sense
They didn’t know the earth was round when they named their own country (a looooong time ago). They really thought it was the center of the universe and their kings were sent from heaven
I don’t doubt that, I’m just saying the name itself doesn’t imply the centre of the world
The kingdom itself the centre of the world. OP meant that because it’s called “Central Kingdom” or something, he imagined it to be at the center of the world.