

F-droid doesn’t just check for reproducibility, they build and sign apps themselves. They don’t take apks from devs, only source code (this also means that F-Droid apks are not compatible with play store apks and can’t be mutually updated die to different signatures. I.e. you can’t install app from play store or directly from dev and update it from f-droid, and vice versa).
There does not need to be any connection. Any state that has a specific ideology that it pushes on its people will be concerned with making sure that new generations follow it. And the earlier you start to do it, the most effective it will be. That’s like priority #1. Typically it’s done through controlling the kids’ school (or even pre-school) curriculum, so that certain societal values and appropriate attitude to major historical events are instilled. These “youth groups” are for most suspectible kids with cooperative parents to instill extra loyalty and encourage them to fully participate in and uphold the system that the state created.