In my experience with Korean and Chinese stories, they've got their own tropes and archetypes just like JP stories do.
If nothing else, the split would help in searches when dealing with hard-to-find stories, as again, you likely know the country of origin just by reading it.
These are the two main reasons I’d like to see country tags implemented. I often run into issues trying to search for a series and if you don’t remember the name it can be a pain to have to slog through tags such as “school life” “comedy” etc. I also do sometimes legitimately want to read a series with tropes only commonly found in works from one country. Anecdotally I’ve noticed korean manhwa for example, tend to use college campuses as a story setting more often, and involve things like drinking culture and parties a lot more than japanese manga tend to do.
In terms of tropes and archetypes prevalent moreso in one country over another, this is a big reason I wanted to switch from yuri to GL, to better represent the way the tag is used as an umbrella for stories from different countries with unique writing cultures in regards to wlw stories. But I seem to have provoked a pretty negative reaction so I suppose the issue is gonna be dropped for now. I do understand the arguments for yuri being more recognizable to people on the internet, anecdotally when I’ve tried recommending GL series on reddit outside of niche subreddits focused on the genre I have often been met with people who have no clue what it stands for, or assume it means Girl Lead lol.