No.
I agree they are not resulting in the expected and desired behavior, but I believe they are doing what the developers intended.
The issue for Chine/China is that when your computer is set to French, Google’s API returns the names of places in French.
iNat uses the long name from Google in its own API search call, but fails to find the country because the name in iNat’s database is China, not Chine. However, since it does find something in the search bounding box that has the search string “Chine” in it, it displays that result.
For Atlanta, again iNat has found a match in its database (Atlanta CNC), so that’s the result it displays.
I can think of a couple potential changes that would improve the search behavior, but it may not matter if the developers don’t want to make changes to the current Explore page and already intend to take care of it in the new Explore page.
Relevant feature request: https://forum.inaturalist.org/t/add-additional-names-to-the-same-place/5480