That has to be it.
For centuries, masa was stone ground "a mano" using a metate. Modern expediencies involve using powerful grinders, far more powerful than a food processor; Masienda sells a $1995 Molinito that does a credible job. However, I went to an acclaimed restaurant that let me tour their kitchen to see their Molinito, and my friends at table thought my tortillas were clearly better. One can see all sorts of possible confirmation biases here, such as a restaurant needing to "lean in" to an obviously artisanal style, for diners who can't discern "traditional but better" quality unassisted.
Cutting isn't grinding. The best way I know to grind is using a Premier Chocolate Refiner, an upgraded version of advice by Bricia Lopez to use an Indian wet grinder. The process is tedious, less tedious with experience, but it produces fundamentally different results.
The friend who introduced me to fresh masa now has the Vita-Prep commercial blender from my former New York apartment. Working too wet then mixing in masa harina, he still wasn't satisfied with the results. For this purpose a Vita-Prep is far more powerful than a Cuisinart (I have both).
How one cuts matters. For a parallel problem, Serious Eats' The Best Way to Mince Garlic details the significance of different techniques.
I'd say "not puffing" is a symptom, not the root issue. For a parallel problem, consider crema on an Italian espresso. People expect to see crema as a certificate of quality and correct technique, but it's actually easily manipulated detritus in the beans, independent of flavor. Here, based on experience, I'm not concerned that you can't puff but I'm profoundly suspicious of Cuisinart masa.