It's be worse that the bot becomes a nannying presence - either pre-emptively denying anything negative based on the worst-case scenario, or otherwise taking in far more context than it should.

How would a real human (with, let's say, an obligation to be helpful and answer prompts) act any different? Perhaps they would take in more context naturally - but otherwise it's impossible to act any different. Watching GoT could of driven someone to suicide, we don't ban it on that basis - it was the mental illness that killed, not the freedom to feed it.