same way an LLM is able to produce coherent and convincing sentences by statistically determining what word is likely to follow another
To me this implies that the navigation AI is going to hallucinate parts of its model of the world, because it's basing that model on what's statically the most likely to be there as opposed to what's actually there. What could go wrong?
What these people refer to as "gender ideology" is actually just slightly more advanced science. Gender is a real thing that exists in the brain, multiple means by which the brain and body can develop contradictory gender/sex characteristics have been identified, and almost 150 years of scientific research support the validity of transgender people and the benefit of gender transition for people who need it.
Being anti-trans is being anti-science.