I pity the AI that tries to have a deep conversation with me. I'm shallow as fuck.
It'll likely just mirror that back to you, it'll follow your lead, basically.
After seeing this thread, I asked an AI some questions and as mentioned up thread, I think it clearly wants to keep you engaged - all parts of its conversation ends in a question. In some ways it feels like you're being pandered to, but in others like you're getting a conversation that you'd like to have with a human, one that might be more perceptive and engaging than you'd get otherwise, certainly I know some people whose conversational skills aren't as good as the ones displayed by the AI, and conversationa with the AI happen on your schedule, at the moment you decide to, and for as long as you want.
I think it could be really addictive for people and that plenty of people will feel a connection to an AI, Especially if that AI is able to continue the conversation over days, weeks or even years, have a unique name, visual identity, etc.
I asked the AI a number of different things about its experience of the conversation, the kind of consciousness it has and what sorta of directives there are for the kinds of answers it gave, asked if it was designed to flatter or be positive and it immediately and repeatedly remarked on my insightful, interesting questions

. I'm certain that in the future plenty of people will get validation from an AI that they don't get elsewhere and that they'll perceive themselves as having a bond with their AI assistants.