This was the only "tech" part that I found cringe-worthy. I was able to watch the rest of the show without jumping out of my seat and shouting "That's not how this works, that's not how any of this works."
You can't really guess which distro someone is using just by glancing over their screen for a second.
You can tell which DE they are using but not distro, except in the case of Unity and Pantheon, those are mostly used with their respective distros. People don't usually have output of cat /etc/os-release on the screen easily visible for people passing by to see.
There isn't that much visible difference between distros if you aren't working as root.
that would be something credible, but hey they are getting really close!