One thought: if the computer is locked down into a mode where it's acting as a fancy typewriter to fill form-fields (i.e. if you're kiosked into the Blackboard worksheet "app" during the lesson), then what's the difference between learning by typing vs. "by writing"?
Another thought: "learning with their hands, with things they can hold" is nice to say, but counting blocks/geometry boards/etc are actually rather expensive (hard to have as many sets as there are kids, for several reasons), so often kids will only get a short amount of time to experience such things, rather than being able to use them as a thinking aid whenever they want until they grow out of the need for them. On the other hand, presuming each child has a computer, "learning by interactive example" — i.e. having interactive touch-enabled simulations of these same learning toys — is almost as good, and freely scalable to the entire student population, such that each child gets as much time to experiment with the simulation — and really learn the lesson of it — as they want. Including taking it home with them!
A third thought, perhaps less persuasive because I'm an outlier, but personally meaningful to me: back in the 90s, I learned PEDMAS before parentheses were even taught to us in school. I had grabbed "C for Dummies" from a grocery-store shelf — asking my mum to purchase it for me — because I knew that C was how you made video games. Instead, I ended up reading about "operator precedence" / "operator binding affinity" as a general concept. Yes, I was 9; yes, most of what I read flew right over my head. But that part stuck! And when I later — at the age of 11 — learned PHP and then Ruby, I already understood how to translate math on a page into syntax for a REPL, because I had seen the C example of how to write binding-precedence parsing. And then I did start creating (simple) game demos — and more interestingly, from-scratch game engines to power them (because toolkits like Unity weren't a thing back then), which involved more than a little bit of maths to make even the simplest physics integration steps work. (Yes, this means I understood how acceleration translates to velocity and then displacement — and so had an intuitive grasp of integrals, despite never having been exposed to them — when I was 12. I came into my pre-calc and physics classes prepared!)