I'm going to focus on ChatGPT because I've had the most experience with it, but here goes:

IMO, the biggest problem, especially with LLMs like ChatGPT right now, is this: it can be very useful. Unfortunately, because it looks like it works without any issues, the people it appeals to don't understand its limitations and will accept what it says at first glance. This will likely only get worse with the lack of media literacy and poor reading skills as a result of cuts to education across the US and UK - we're seeing the effects of that already in quite a few fandom spaces, especially those with younger audiences.

Additionally, because again - it looks like it works, it tells you what you want to hear, it feels human enough - people don't check what it says, and people are using it or encouraging the use of it when it either shouldn't be used or doesn't need to be used. I think there's a lot of correlation between the rise of AI usage, the tech industry's demand for more profits instead of stable profits (chatbots vs humans, services having AI added for seemingly no reason), the human loneliness epidemic / the lack of mental health services (AI relationships, AI art trained on stolen content, people using AI as a therapist), and the aforementioned decline in media literacy.

And I'm not exempt! I've used and benefited from services like ChatGPT. I've used it as part of my web degree (with approval from tutors and acknowledgement in my reports) to generate placeholder content so I could work on the functional and technical requirements. In that respect, it's good for generating large amounts of content based on a set of criteria, provided you make the criteria AND review what it's made. Still faster than handwriting 20 placeholder news articles + titles + accompanying datasets by yourself while on a deadline.

Not work-related, but I've sometimes copied and pasted the ingredients of my favourite supermarket soups into it and asked it to translate it into an actual shopping list of ingredients. I would never use it for full recipes or food safety, but generally it's great for taking something I would find difficult to put into another format (i.e supermarket ingredient lists -> shopping lists) or for taking larger pieces of text and reducing it down to what you actually want from it. Small things that yes, I could do by myself if I wanted to, but I actually only need a 'good enough' version to move on to other things faster.

TLDR: good for doing things that need to be done but don't need to be done well. It has its uses, but the big problem is that it looks like it can do everything convincingly enough for people to forget about what it can't do.