The Short Version
The claim contains a kernel of truth: IARC classified combined oral contraceptives as Group 1 ("carcinogenic to humans") — its highest evidence category — back in 2005. However, "top-tier carcinogen" misleadingly implies extreme danger. Group 1 ranks the strength of scientific evidence, not the level of risk. The pill sits alongside processed meat in Group 1, not because they pose equal danger, but because evidence of some carcinogenic effect is strong. The claim also omits that the pill reduces the risk of ovarian and endometrial cancers and that absolute risk increases are small.