This paper aims to question the dominance of human rights as the primary normative framework for European social media regulation, and academic research in this field. Analysing EU legislation and recent ECJ cases, it shows that issues like discriminatory content moderation, profiling, and promotion of stereotypes cannot adequately be addressed within a human rights framework. The centrality of individual rights in the EU legal regime not only fails to address collective issues, like platforms’ influence on culture and social norms, but cannot even offer effective, equal protection to individuals. In policy debates, the depoliticised and individualistic language of human rights can legitimise corporate activities and downplay important questions about the political economy of this privatised, highly-concentrated, advertiser-funded industry. The paper also considers interpretations of human rights as structural conditions or collective values, and argues that they cannot fully overcome the limitations discussed here. Given the entrenched role of fundamental rights in EU law, critics of social media cannot avoid relying on them. However, academics should also seek to develop more explicitly political critiques, based on alternative normative visions.