Thank you for your thoughtful and respectful question. I'll try to break them down into different parts.
First of all, I totally agree that sex matters and impacts on experience; I do not think it's irrelevant at all. But sex is complex - it is on just one thing it has multiple components and variations that all have important impacts on experience.
Given all this improvement in the understanding of the biological markers of sex, i am really interested in any research into this amongst trans people without any DSD . Is there any?
Yes, although scientific conventions wouldn't put it in exactly these terms. Sex development is layered and complex and there are minority variations. These minority variations are driven by different balances in genetic and molecular signalling, as well as how environmental factors impact on genes.
The balancing of the production and reception of sex hormones also have profound organisational effects on the brain, which underly neurodevelopment.
It is often assumed that the development of 'gender identity' (which is simply the sense/ knowledge of one's own sex) is an entirely social and simple process which (somewhat paradoxically) directly follows from what 'sex' you are observed to be at birth/ what genitals or karyotype you have. But this is far far too simplistic. As with all areas of science that relate to understanding the complex, adaptive systems of the brain there is a long way to go in our understanding (this doesn't just apply to transness it applies to all areas of neurodevelopment - ASD, ADHD, etc etc), but there is emerging evidence that transness and gender dysphoria are underpinned by variations in sex hormone signalling genes and prenatal hormone balancing. In fact if you think about it, it's foolish to believe otherwise. The brain after all - the physical structures of which underpin cognition - is part of the body and for a very long time now scientists have understood the very powerful impact that sex hormones have on the brain.
There's so much more detail I could provide, but this is the explanation in brief.