Seeing my study methods prior (e.g. WaniKani or just drilling vocab or reading), the consensus was basically it would be a minor miracle if I learned kanji perfectly through just recognition methods alone. The basic reason was that natives themselves make mistakes and even struggle to remember certain kanji.
Perhaps you can attest yourself as someone who learned to draw kanji growing up (and I’ve seen natives do this often, particularly my wife): when they trying to remember a random word or kanji they haven’t encountered in a while, their pointy finger will start to brandish the stroke order in mid air to recall it, and poof it’s back like an old friend. I don’t know the science on muscle memory in regards to kanji drawing but I think we’ve all experienced what muscle memory is in someway in other activities, but I feel it’s almost a way to quicken and enhance our short term memory. Now I’m branding strokes randomly myself bit by bit, for some reason it works.
I’m sure you know this already but just to clarify my post: I suppose a very simple example (maybe not the best) would be something if someone struggled to know 酒 in isolation or in a new word using it never seen before. However reading 酒を飲む or 梅酒, it’s very comfortable to remember to what the kanji/vocab means…then put in broader scenario like a izakaya (life or fiction), now it’s even more super obvious, still not quite mastery though. One could argue, ‘well, we learn the 酒 kanji individually’ but put in with other language distractions or foreign context or new word and now the buffering speed slows down. Or maybe put it next to 西, 尊 or 猶 alongside just learn and haven’t seen 酒 in a long while and then mistakes begin to arise…maybe not the best example, 酒 is fairly well remembered by all but there are many others that fall into this loop of frustration. I find writing cuts the noise of this like you already mentioned above.
I don’t know if I would practice writing alongside WK and see why others in the throws of the SRS don’t want to do it ATM. I’d probably recommend to take the free lunch on the mnemonic system to help reading progress and work backward when you are done to clean up the similar kanji issues and help reading accuracy based on common frequency priority. The platform moves at it’s own pace and order; really, the 1000 most common should be in the first 30 levels but it’s not it would be slog to write alongside it I feel. But I will credit WK in helping learning kanji writing much easier though and the process has alot of similarities as one might expect.