Intersex people are living proof that it's not always a binary.
Every “intersex” person is either male or female. Many in that community object to others describing them as some kind of other sex and, especially, using their medical condition as an ignorant cudgel to advance the “trans” rights agenda.
In other words, if a person experiences DSD, but self-identifies as male or female, what you are describing is not proof that sex is a binary, but rather proof that a person with DSD can experience gender dysphoria.