Because on the one hand, sycophancy is not really what you want to do for people in mental and emotional crisis. On the other hand, not being sycophantic is not really what you want to do for people in mental and emotional crisis.
There are professionals who speak to people in crisis for a reason. That's because it's fraught with pitfalls and trapdoors that take the situation from "mental and emotional crisis" to "tactical emergency" in a heartbeat.
I know that no one wants to hear this, but ChatGPT should probably be listening for people in crisis and, well, maybe not calling the cops, but maybe if there is a crisis line in their jurisdiction? A suicide hotline or something?
I don't know? But having an LLM out trying to handle that on its own just seems like a very bad idea.