We are not 'biologically nonbinary', it's actually fairly rare for us to be assigned X at birth, the majority of us are given an assigned sex.
Intersex is a catch-all for a huge number of variations, so there is no singular 'intersex body', in fact a large number of us do not have ambiguous genitalia.
You cannot transition to become intersex. You can transition to have a mix of sex characteristics. The current most accepted word for this I've seen is Salmacian. Because intersex is an umbrella term for many many variations and conditions, saying this is similar to saying you'd like to transition to being autistic or having EDS.
A lot of us go through medical abuse in childhood, including forced hormone replacement therapy and gender reassignment surgeries, often as infants. I, for example, was forced onto estrogen as a teenager. This is something we are still fighting to make illegal without impacting trans youths access to treatment.
Not every intersex person is trans. Just like everyone else, we can be cis or trans or feel a mix of the two. Some of us are just intersex and aren't interested in further labels.
And finally, because I am genuinely stunned by the amount of people that don't know this. Hermaphrodite is an intersexist slur. You should not be using it if you are not intersex.
