MNN is hard to get into. I would almost say that their supplementary books are where their true value shines, and you don’t actually need the main textbooks to use them.
In terms of approachability, engagement and ease of access, I would recommend JFZ of the three. In terms of overall coverage of all topics, Minna wins hands down if you include the supplementary books.
I would actually recommend other books though, in retrospect, TBH. I own more N4-N5 books than I would wager most people in this forum do. It’s true that everyone learns differently, but there are books that I feel would give most people a more engaging and enjoyable experience.
The Try! series is an absolute gem for absolute beginners. It breaks down JLPT competency in an instructive manner, rather than simply being a review and knowledge check like many other JLPT resources. “Try! Start” even gives you a pre-N5 boost to ease you into the JLPT and Japanese language learning mindset.
The book Beginning Japanese: An Integrated Approach (no relation to the Intermediate Approach book by the Genki folks) was also very fun and teaches through manga panels, similar to Japanese the Manga Way, but much more beginner friendly. You start learning Kanji immediately and drop the romaji, an advantage over Japanese from Zero, without making the transition seem intimidating.
Tobira, the “infamously difficult” intermediate book, now has beginner books covering mostly the same information as the series you’ve mentioned, but the approach is fairly different, and the books feature full-colored pages and helpful row-shading to make extended reading easy on the eyes.
At the end of the day, this is your journey, so research as best you can and do what works for you. It’s too cost prohibitive to get almost ALL of the beginner books to try them out, and you don’t need to (but it costs about $2500 if you’re curious and have the money kicking around). If you do have that kind of money, almost every book offers some nugget of insight, although you won’t really gain much advantage over a person that diligently studied from just a couple of resources. Besides, that money could be spent on an actual trip to Japan, the experience of which is vastly more valuable than any number of textbooks
I hope this helps.