I wonder how much of that is LLMs being bad, and how much is LLMs being (over) aligned not to do it.
AFAIK, Chat GPT Voice mode had to have a lot of safeguards put on it to prevent music generation, accent matching (if you sound Indian, it shouldn't also sound Indian), and assuming ethnicity / biasing based on accents.
It doesn't seem that impossible to me that some of these behaviors have been aligned out of these models out of an abundance of caution.