I'm not even sure about the "people skills" of ChapGPT. Maybe it's good at that. It always says ...you have to consider this side but also the other side... ...This is like that, however it might... It can weasel itself out of situations (as it did in this video). It makes a big effort to keep a very friendly tone in all circumstances. I think OpenAI has put a lot of effort in ChatGPT having something that resembles a portion of people skills.
I've used those capabilities to rephrase emails that needed to tell some uncomfortable truths but at the same time not scare someone away. And it did a halfway decent job. Better than I could do. And we already see those people skills in use by the companies who replace their first level support with AI. I read somewhere it has a better customer satisfaction rate than a human powered callcenter. It's good at pacifying people, being nice to them and answering the most common 90% of questions over and over again.
So I'm not sure what to make of this. I think my point still remains valid. AI (at least ChatGPT) is orders of magnitude better at people skills than at programming. I'm not sure what kind of counterexamples we have... Sure, it can't come to your desk, look you in the eyes and see if you're happy or need something. Because it doesn't have any eyes. But at the same time that's a thing I rarely see with average human managers in big offices, either...