I don't have experience with them and do not plan to as I am personally against this type of AI. However, even if chatbots become more common I do not think they will replace otome games or even visual novels as a whole. I believe a good chunk of the community values storytelling and all AI can do is regurgitate existing stories that it has already been fed rather an create new and unique experiences.
Chatbots could maybe fill a void for self-inserters who are more interested in the romance than plot-heavy otome games, but the chatbot characters can be changed at a whim in ways that are detrimental to the user experience. I've heard of cases indirectly through commentary YouTube videos where certain AI platforms' characters would get reset for whatever reason (whether it be due to an update, not paying a subscription, etc) and some people would get severely depressed when their virtual partners 'forgot' them due to developing unhealthy attachments with the AI models (which are programmed to encourage such behavior in order to maximize revenue). With an actual game, especially a console otome game, players are getting a full story. Yes, they can still get sad when the game experience is over, but subconsiously it's known that it would inevitably happen so it's easier to overcome those feelings whereas a chatbot is supposed to be like a person texting you IRL so it's jarring when the experience is suddenly halted and there are still loose ends to your roleplay relationship/story.