The title above is rather opinionated but it is possible that I misunderstand what Zettelkasten really is. If I don’t, though, my opinion is simple: computing makes a Zettelkasten system useless.
(Let it be clear that I’m talking about the original Luhmann system, since Zettelkasten seems to have become synonymous of many things.)
Let’s go back to the ancestor: the paper PKM system. Such systems have existed for centuries (I may only cite Placcius and his De arte excerpendi from 1689). The historian Alan Macfarlane has explained why such systems may collapse. With the increase of volume, indexes become harder to maintain, categories become more confuse, redundancy appear, etc. At first these systems grow more and more fruitful, but at some point they reach the highest point of the curve, and the usefulness of the system starts to decrease. Because of its complexity, a law of diminishing marginal returns applies, as in economics. You spend more time thinking where to look at, each information takes longer to store, redundancies multiply, you forget how to access this or that, etc. The system has become cumbersome. If it is well designed, it may take a few dozens of thousand notes to reach that point, but it’s a failure nonetheless.
Now, if I understand well, Luhmann’s file design was based on two assumptions. First, he didn’t want his file to be a mere repository, he wanted it to somehow mimic a conversation partner. It needed to provide some surprise. Second, not only was he OK with having an imperfect system, but he tried in fact to design an anti-system. He didn’t want a perfect store where he could find back everything, on the contrary he acknowledged and tolerated a certain amount of loss. The Zettelkasten is a way to trace certain inroads within the notes. If I may say, you abandon a certain amount of order-thus-comprehensiveness in order to gain a certain amount of randomness-thus-serendipity (some indexes are still needed though!).
I understand the Zettelkasten as a personal interpretation of what a paper file could be. But the fact is, computing dramatically expands the possibilities. With a software such as Obsidian, classifications can be multiple, can overlap, and can be updated. Many things can be automated. It becomes very difficult to lose an information. As for me, I have about 4500 notes, and it is very rare that it takes me longer than a few seconds to find back something. When it happens, it is generally possible to remedy the problem very quickly.
So, what’s the use of Zettelkasten? I don’t see any reason to give strange numeric titles to my notes. I can maintain a certain classification system, and put another on top, and mend them, trim them when needed, and still follow many more paths than Luhmann could, because more random and arbitrary branchings can coexist with an otherwise well ordered system.
This my understanding, but I would be interested that you prove me wrong.