The three-cue system is what convinced me that, per Robert Conquest, American education is secretly controlled by a cabal of its enemies. I mean, if I were one of Bezmenov's supposed evil-genius agents of influence seeking to undermine and ruin Western civilization, introducing the way that illiterate people bluff their way through reading as the standard for reading education would definitely be in my toolkit of delightfully devilish methods of cultural sabotage.
My wife and I both acquired reading very early -- age three or so. So I don't remember the details of how I acquired it, only driving some of my teachers nuts once I actually did enter school, because I didn't follow the timetable they learned in their expensive university education of when and how kids are supposed to learn to read, do math, or anything else really. But I suspect that one thing you can do to help kids with their reading skills is to read to them, starting very early. My wife and I have similar experience of being read to by our moms, eventually seeing the ability to read as a "magic power"[0] of sorts, and becoming determined to learn this skill, so that we could unlock the tremendous power of books and writing for ourselves. Contrariwise, the kids I've known who struggled with reading early on (even my own sister when I was younger) tended to get bored quickly, give up, and want to do other things.
Reading is an intellectually demanding skill, much like computer programming except for degree -- there's a bit at the beginning that's really hard, because it's based on insights that you don't have yet, and you just kind of have to bro through it. Those who think it just "comes naturally" or whatever are just really, really well practiced at it. You gotta keep your eyes on the prize in order to stay determined to power through the hard bits. Inspiring kids like this begins at home, though school and even television programs like Reading Rainbow (when I was growing up) certainly help.
[0] When the Cherokee silversmith Sequoyah devised a writing system for his people, the Cherokee reacted at first with horror: written material, or "talking leaves", was the white man's evil magic! Once he walked them through how it worked, however, they embraced it and the Cherokee became more literate than the surrounding white population.