I've seen this thread but have avoided jumping in... knowing, as someone with a DSD, that would be tough going. Though, I am impressed with the general tone, and grateful to the OP for participating in the conversation...
While I appreciate the benefit of saying that there are male DSDs and female DSDs, I don't really know if classification through a table or flowgraph really works.
I see a table a page or two back classifies CAIS as a "male DSD". This seems inconceivable for most girls and women with CAIS and their families. Twenty years back I was in a support group meeting where a scientist was showing a family tree which left everyone in the room completely puzzled, until someone clarified that the CAIS individuals were being shown with the male symbol. This was a strange moment, even though everyone there knew what CAIS was.
I have a much more rare 46XY condition. My diagnosis at age 16 relied on a laparoscopy exam as my gyn/obs doctor - with experience of treating thousands of women and daily looking at women in stirrups - couldn't see anything different though examining me several times after trying to induce menstruation with several hormones over months. And yet the scientific table would probably classify me as having a "male DSD".
If I ever think "I wish I didn't have this condition", the alternative in my mind is that I would have the same life I've had always, but maybe with the possibility of having children, and more feminine curves. But never is the scientific alternative, that if I didn't have this one gene damaged I would be male. (I am finding it even difficult to write that I would be a... man. It's just unimaginable.)
I was friends with several women with PAIS and one lovely woman with 5-ARD; at that time it was common for the testes to be removed before puberty and the girl being treated with estrogen. I don't think any of these friends ever thought of having a "gender identity" - they (and I) couldn't see ourselves as male. None had any androgenisation or thought of any fluidity between the sexes. We all knew the science and the whole XX/XY thing but just went on with our lives as women.
This was all early days of the trans movement, but our Support Group was courted by several of the trans organizations in a pursuit of some medical justification that MtF trans people (I know, old-fashioned term) suffered a mild form of Androgen Insensitivity. I recall the group was adamant to stay away from any such umbrella. It seems in the end the GRA offered a different avenue without needing to have a medical justification for someone to be trans.
Sorry for all this rambling, I have not read the whole thread but just thought I'd put in a few words as someone with an intersex condition or DSD. (I don't like either term as it happens.)