> how many wars did LLMs and the social media instigate?

At least one already. I suspect your comment won't age well.

https://en.wikipedia.org/wiki/Rohingya_genocide

https://www.reuters.com/article/us-myanmar-rohingya-facebook...

> Marzuki Darusman, chairman of the U.N. Independent International Fact-Finding Mission on Myanmar, told reporters that social media had played a "determining role" in Myanmar.

You could probably count the war in Gaza to some extent.