Platform:
Website, API, export observations as CSV
App version number, if a mobile app issue:
Browser, if a website issue:
Firefox
URLs (aka web addresses) of any relevant observations or pages:
https://www.inaturalist.org/taxa/60783-Pluteus
https://api.inaturalist.org/v1/taxa?taxon_id=60783&rank=genus&per_page=1&preferred_place_id=14&order=desc&order_by=observations_count
Screenshots of what you are seeing:

Description of problem:
Step 1:
Look at the taxon page for genus Pluteus. In the “Taxonomy” tab, the list of names lists for English:
“Deer Mushrooms” crossed out
“Shields” not crossed out
I don’t know if that means that iNaturalist should no longer display “deer mushrooms” as a common name. Either way, it’s weird that I get a mix of “deer mushrooms” or “shields” for the common name, depending on where I look.
Step 2:
Notice that the window title (from the <title> HTML tag) is “Shields”.
Step 3:
Notice that the common name at the top of the page is “Deer Mushrooms”.
Step 4:
Query the iNaturalist API:
https://api.inaturalist.org/v1/taxa?taxon_id=60783&rank=genus&per_page=1&preferred_place_id=14&order=desc&order_by=observations_count
The resulting JSON includes the following:
preferred_common_name: “Deer Mushrooms”
Note that I gave my region to the API as California (preferred_place_id=14) to match my region when logged into the website.
Step 5:
Export any observation of the genus (while logged in as an English speaker):
https://www.inaturalist.org/observations/export
(e.g. Exact Rank = Genus, Taxon IDs = 60783)
Notice that the common name is listed as “Shields”.
So what’s really the common name for my language/region?
I also noticed the same issues for Diastrophus kincaidii:
https://www.inaturalist.org/taxa/205631-Diastrophus-kincaidii