The above claim is most likely true: it is easy to pull the trigger accidentally on the Sig. But that isn't the argument. People are claiming it will fire uncommanded.
The video is misleading because he is partially pulling the trigger, which deactivates the internal safety mechanisms.
It is the clickbait equivalent of a video claiming Rust is not memory safe, that starts by showing a Rust program running and causing a BSOD. Then deep in the video, what they show is he wrote a bunch of explicit unsafe code.