I haven't used Pijul, but I did use Darcs for several large production projects back when it was still a thing.
Darcs was magical -- in both senses of the word. It was incredible to see it figure out which patches depended on which, allowing a fluid exchange of changes between branches in a way that quickly becomes a nightmare in git. But it was also magical in that nobody really understood the internals. Not in the sense of git where the underlying data model is pretty simple, and the "version control" aspect is a (thin!) UX veneer on top, but in the sense that it was like quantum physics. When something went wrong, it was almost always impossible to fix. And with Darcs, things did go wrong, because it had bugs, specifically a certain dreaded "exponential conflict" edge case where, if it encountered an identical line change in two patches from different branches (or something like that, it's been more than 10 years), computation time went through the roof and the merge command almost never finished. At several points we had to start history from scratch to avoid spending an entire day fighting the conflict problem. Another thing with Darcs (and presumably Pijul) was that since it tracks patch inter-dependencies, you can rarely cherry-pick individual patches -- pulling out one patch tends to pull with it a whole string of related patches, all connected. Which is often what you want (git just fails horribly in such cases), but sometimes you do want to "forcibly cherry-pick" and manually fix, change identity be damned. I don't know if Pijul supports this.
It looks like Pijul fixes the conflict problem, but it still seems to keep the "quantum theory of patches" that requires an above-average developer to understand. If it has no bugs, then maybe the problem is moot, but in our industry, transparent, "self-repairable" tech seems to win in the long run over the esoteric, opaque and magical.
That said, it's clear the Darcs/Pijul has a vastly better UX, which I'm all for. Git's data model works remarkably well for what it does, but it's always been obvious to me that its "record snapshots and try to make sense of them after the fact" philosophy is a bit flawed. The article mentions branch history. And rename detection doesn't work well with how most people work, for example; it's a clever kind of lazy evaluation, but probably designed for Linux kernel devs, so not clever enough. Darcs had a patch type specifically for renames, and it worked very well.
Another thing I wish version control systems had was what you might call a high-level changelog. It would let you group and annotate commits after the fact, but without changing them. For example, you might want to group a bunch of patches as a single "feature" commit. Then you could make a "release" group that groups a bunch of feature commits. In other words, several levels of nesting, with each commit containing child commits and so on. Viewing the log should show only the highest-level groups, with the option to expand them visually so you can see what they contain. You should be able to group things like this after the fact without changing commit order, and you should be able to annotate the log (e.g. add more information to a commit message) without mutating the underlying patches. Git was on the verge of ventured into this territory with its (now discouraged) "merge commits" -- a high-level commit that represents a single logical merge but encapsulates multiple physical patches -- but that didn't go anywhere. The nice thing about a high-level history like this is that you could use it to drive release notes and change logs, and it would greatly aid in project management and issue tracking, because you could manage entire sets of commits by what issues or pull requests or milestones or whatever they relate to.