The APA appear to go out of their way in the guidance to explain that what they mean by “adult monitoring” is open coaching and discussion, not spying and blocking, but this sort of distinction seems to be missed or deliberately ignored in many discussions about online safety.
As such, the source of the problem here doesn’t appear to be that the tools are inadequate at their jobs, but rather that they’re all fundamentally the wrong tools. In this case, no amount of engineering can solve it. Given this, perhaps the question should not be “What parental controls?”, but rather, “Should these kinds of restrictive parental controls even exist?”
[0] https://www.apa.org/topics/social-media-internet/health-advi...
[1] https://doi.org/10.1016/j.compedu.2020.104026
[2] Definition from the study: “Instructive mediation […] explicitly involves children in the process of online monitoring. For instance, a parent adopting an instructive approach might appraise their children of the potential harms of certain online material, the appropriateness of sharing personal information online, and the latent danger of interacting with strangers on social media platforms.”
[3] Also from the study: “Restrictive mediation does not directly include children in the intervention process. Rather, it involves the curtailing of cyber-routines through blocking software or parental monitoring of children's online habits and associations. Shielding children from the dangers of the Internet is given primacy over educating them about such hazards[.]”