I've been talking to it daily for months and never had anything shut down. My only experience with that was DeepSeek not wanting to talk about internal perceptions of intellectual property laws within China.
MIC132
Probably depends on the type of sensitive topic. The ones I got shut down in were related to sex (but not explicit themselves, not like direct descriptions or something) and I mostly mention it since ChatGPT for example had no problem discussing that but Claude shut down immediately.