Qualitative researchers have long observed that rationales for medical interventions on intersex characteristics, or variable sex characteristics (VSC), invoke heteronormative ideals. Such medical interventions are controversial and described as infringing human rights. Recent survey research has confirmed that support for medical intervention, and opposition to its legal limitation on human rights grounds is predicted by (1) identifying as heterosexual and (2) endorsing gender binary beliefs. We replicated both findings here among 59 LGB+ and 61 heterosexual participants. Opinions about medical interventions on intersex characteristics were additionally predicted by belief in heterosexual complementarity among all participants, and by strength of heterosexual identification among heterosexual-identified participants. Participants read excerpts from three published interviews with a medical professional, a parent of a child with intersex characteristics, and an adult with intersex characteristics and generated analogies to these experiences. Participants who generated more diverse analogies endorsed the gender binary and medical interventions less, and supported legal limitations more. The results are discussed in relation to the formation and distribution of public attitudes to the controversial medicalisation of intersex characteristics.