The site that made the claim about superior linux tools is just a random linux praising blog and it shows off Cinelerra, Kdenlive and OpenShot. Yeah, it is not very credible.
I did talk to Lightworks users and basically their reply to me is twofold:
1. Lightworks is for professional film and they use hardware that does the sync, like timecode jamming.
2. You don't need that amount of accuracy.
While I personally cannot agree with the latter statement, I do see the point made in the first. Indeed, as someone else pointed out, computers were seen as help, not as standalone tools.
I did not review Cinilerra, btw. It's been a while since I used it. I think it is pretty difficult to use, I remember doing something with it, but quickly stopping. I will look at it again.
Additionally, just so that I am not unfair to OpenShot developers (and maybe even Kdenlive), it uses melt, which is a video editor, afaiu, command line. And it is this melt that is buggy and crashes all the time. OpenShot and the like are just GUIs to this. Well, more than just GUIs, but melt is at the heart of it.
Apparently, OpenShot 2.0 is coming up which will use a different library and it should be seemingly more stable. I just hope it will work out. I mean, I have seen stable video editors on Earth, it should be achievable.