That's a strawman argument, and I assume you know that. I can remember being a kid and my mindset then. The point isn't "the State is bad" (though it is), the point is "kids naturally rebel against institutional authority figures and the programs those authority figures conduct."
Remind me how successful DARE was?
This is essentially a childhood version of trying to legislate personal behavior and beliefs without addressing the social and material conditions that give rise to those behaviors and beliefs.
Want to stop (or at least start to tackle) misogyny? Hold companies whose algorithms promote it financially responsible. Actually convict, or at least prosecute, high-profile creeps like Prince Andrew. Make DNA processing of rape kits a priority, and stop giving rapists lighter sentences than drug dealers. Prosecute companies like Roblox and Meta who knowingly allow creeps to hit on minors (though that isn't limited to just girls, it still helps contribute to the social conditions and sense of impunity). Teach your own kids to shame their friends who behave in misogynistic ways, and to fight back if they're pushed to accept such behavior. In particularly severe instances, like boys who actually physically assault girls, maybe consider having the state examine their home life and, if appropriate, pursue some type of action against fathers (or maybe mothers but.. probably not often) who condone such behavior.
And even a lot of that is still surface-level stuff. For example, if you want parents to be able to raise their children more and have the algorithm raise them less, we need higher wages and lower costs of living (or, even better, the full surplus profits of our labor which we are rightfully entitled to). Ideally, we also need those parents to be given a good education so they can critically think about the material they are presented with online. As with basically everything, the problem is, at least partially, capitalism. If you want children to learn how to be functional, healthy humans, they need unsupervised places to play and learn on their own - a recent study showed that most kids would prefer unsupervised outdoor play (where generally there are no Andrew Tate-esque figures yelling misogynistic garbage at them) to unsupervised screen time (where there often are), but parents more often deny the former and allow the latter.
A stern institutional finger-wagging serves to make the institution feel like they're doing something and like the broken system under which we all live is capable of being repaired and reformed. Hopefully I'm wrong and this program is a massive success, but I wouldn't hold my breath.