I'm doubtful. I don't think advertisers generally will want to pay for their results to come up in conversations about suicide and I don't think OpenAI will want the negative publicity for handling suicide so crassly for the pittance they would get on such a tiny portion of their overall queries.
I see you're the type that takes the information from the sales pamphlet as what the product actually does. When they say they can find content aware and appropriate ads, you understood that as something they can actually do instead of wished they could do. BTW, I have bridge available for sale too.