The question here is, is social media addictive and is it harmful. If we have enough evidentiary proof, then yes, it should be banned just like we do for alcohol or cigarettes. We also ban porn for kids. And we don't need any ID proofs in implementing the ban. So we have a precedent. It's not perfect, but society knows it's bad, government, family, schools come together and implement the ban. No need for IDs etc and give more control to government.