Sometimes the thing holding you back from improvement is a lack of facts, and sometimes it’s poor understanding of theory. In my experience, however, the fastest way to get better at doing something is almost always to practice doing that thing; most of the time a sufficient collection of facts and theoretical understanding will come along as a side-effect of that work.
How much of their prior training was memorizing specific facts, and how much of it was drilling the mechanics of solving typical problems? The former is what most people use spaced repetition for and what I believe is of limited utility; the latter is incredibly valuable and I never meant to imply otherwise.
Regularly looking things up is ok, but actively re-experiencing the thing you're trying to learn is a better way to make it stick.
On this we agree, but to me this means practical application in various contexts, rather than call-and-response memory drills.
Language learning is an obvious use case.
Also: law and medicine. Having knowledge mentally 'to hand' is pretty important if you've got a patient under general anaesthetic, or a judge asking you a very difficult question.
Memorizing word pairs can certainly be done with spaced repetition, but it’s unclear how much that translates to actual language ability. Second-language acquisition appears to be primarily dependent on reading (or listening to) the target language for content, and most words are learned via seeing them in context instead of being looked up in a dictionary.
I have no experience with law or medicine, but I expect the story is similar: practical knowledge is what you need to hand, and not book knowledge. Book knowledge is what gets you through the exams and into the practical part of your training.
Word pair is the easiest way to do it in anki, but it's not the only way to implement it.
Outside of a schooling/testing context, memorization alone is rarely beneficial. You need to be able to practically apply the knowledge, which happens through experience; looking details up when you need them forms a natural kind of spaced repetition anyway that’s tuned to what you actually need to know.