Edited at 16:10 UTC on October 25, 2025:
It seems the issue is at least partially fixed, as I mentioned in my comment below. I deleted some of the threads I showed as examples.
When I ask Assistant a question in Korean, it tries to fetch from pronouns.org no matter which model I've picked.
I simply made this question so I could share the threads.
"Who is the creator of the Korean Sebeolsik keyboard layout?"

I believe the assistant should avoid suggesting unnecessary English pronouns, especially if the person’s native language is not English.
I hope this issue can be resolved soon, as I would prefer not to leave these assistant threads public for too long.