I am going to disagree with you and actually turn your argument. … By your argument, you would actually disallow people who write notes during tournaments to keep track of cards seen on top of R&D and HQ, favoring those with perfect in-game memory. Memory is not a skill tested in any game. In no way would that ever affect me but for the sake of argument, it will affect those who cannot actually attain a tournament level of gameplay.
I think in the tournament rules it says you cannot write down stuff like what you just listed.
Think of it this way: Some people are really good at stuff. That stuff could be short-term memory, probability calculation, etc. Those people will have advantages in niche situations, like Netrunner, compared to others. While we are not explicitly competing on memory, it starts to get ridiculous if you let people consult a list of cards or go on their smart phone or whatever. It's more of a sportsmanship thing than anything. No outside help is not unduly strict, unique, or contentious. If you happen to be NOT good at stuff that is rewarded in Netrunner (like memory), you'll probably lose more games of Netrunner. That's why we play tournaments, to see who's the best at Netrunner. Not who has the best prepared reference materials.
SO, while the original post portrays their action as a harmless reference check, and it probably didn't alter the game THAT much, I would probably not allow it in a tournament, and I've run a few. Generally you just say "No cellphones so you don't accidentally break a rule", since that could also be considered slow play. Rules are there so no one feels ripped off, not so that some TO can get off on enforcing them.