I still find it hard to understand the emotional attachment to LLMs and why people believe their ideas

It's a conversation you're having on the internet with an agent that sounds like a human. People get invested for the same reason they get catfished.

It sounds like she is too overworked and stressed to make decisions or even think for herself, so she lets GPT do it for her.

That's the nut of it. And ChatGPT tends to mix the pastiche of a well-researched argument with the kind of feel-good self-affirmations that win over their audience. So you're getting what looks - at first glance - to be good advice. And then you're getting glazed on top of it. And then it's designed to tell you what you want to hear, so you're getting affirmation bias.

I hope she gets better soon, and I hope you do too, being overworked and stressed really destroys you and the people around you in many ways.

I mean, that's why human-to-human interactions are valuable. But it's also why they're difficult. Like any good medicine, it can taste bitter up front even if its what you need in the long run.