I have a gut feeling that Americans care more about this than Ukrainians themselves. I am no fan of russia and using the "incorrect" spelling kiev instead of kyiv doesn't imply that IMO.
Gut feeling is not the best thing to rely on in these situations, because there is a chance of jumping into a prejudice. It all depends on a large number of factors which you have to understand before making any conclusions
I will not go proactively into explaining why, but I will be happy to provide you with some resources if you are interested to dive in deeper into this topic
Into what topic? I have no problems using Kyiv if that's what Ukranians want. I do not require any other explanation or further discussion. I am just no that politically correct that I care either way.