I find it disappointing they reference nuclear winter without qualifying that it is quite unlikely given today's arsenals. I would reccomend against sharing it in it's current state.
I think you're referring to "It Looks Like You're Trying To Take Over The World" by Gwern: https://www.lesswrong.com/posts/a5e9arCnbDac9Doig/it-looks-like-you-re-trying-to-take-over-the-world
Agreed - I do not mean to imply nuclear holocaust would not be horrible.
I do not think the FLI should cherry pick extraordinarily high numbers to make that case though, and them doing so/us sharing them doing so eats away at our epistemic commons.
I'd really rather not show that video to a well informed friend as they'd go "Wait, but I know that's wrong" and then discount other things I say about X-Risk.