Reality is more complex than the uninformed can imagine.

  A true hermaphrodite rabbit served several females and sired more than 250 young of both sexes. In the next breeding season the rabbit, which was housed in isolation, became pregnant and delivered seven healthy young of both sexes. It was kept in isolation and when autopsied was again pregnant and demonstrated two functional ovaries and two infertile testes. A chromosome preparation revealed a diploid number of autosomes and two sex chromosomes of uncertain configuration. 

Hermaphrodites in Australian pigs. Occurrence and morphology in an abattoir survey - https://pubmed.ncbi.nlm.nih.gov/559485/

That's biology for you.