@Booboosttwo How would you identify true gonadal intersex people who have both ovarian and testicular tissue?
To my knowledge, genetically male with a female phenotype, so most would see them and almost all of them identify as women as phenotype is what humans usually identify each other and ourselves on.
Gonadal dysgenesis, which is what you're describing, whether complete or mixed/partial, is male-only. Without one of the many gene mutations that cause it, a person would develop, produce sperm and have male phenotype like any other guy. Those with these conditions don't produce any gametes so having both tissues doesn't change the one or the other issue. I'd recommend this very thorough article if you'd like information to actually learn about and stop using intersex people as a gotcha. People who actually know about intersex conditions already know how such a person would be identified and most likely to identify because it's been pretty researched into the ground.
One intersex group has made one public statement on their views on trans people, they do not represent all intersex people and even if they did stating that you do not wish your condition to be referred to in an rational argument doesn’t mean your condition becomes irrelevant to that argument.
Okay, intersex isn't one condition or a 'variety of possibilities'. It's an umbrella term for diagnosed conditions related to sex development. There are cultural factors as well that put some in similar situations - for example, there are some who have faced genital mutilation on their clitoris due to a natural variance without any medical condition, and intersex advocacy groups fight against that as well. That it means 'between' due to discussions about us prior to knowing about genetics and things matters about as much as the root words for homophobia meaning fear of same, we know culturally that's not what people are talking about and historically that term is significant as it was used to mock treating same sex attraction as a mental disorder.
Intersex people are female or male, there is no third gamete or phenotype, it's better to expand the definition and information to include based on current medical information than to push away or use to back up other people who have very different concerns. Intersex conditions have nothing to do with trans people. The Organization Intersex International and it's dozens of offices and offshoots, The UK Intersex Organization, and the Intersex Society of North America - which all are quite different in perspective - are all really clear and have statements available that, yes, sex and gender is complicated at the edges, but that it is incredibly important to be clear that the major differences between trans people and intersex people, the different issues and discrimination being dealt with, and that there is no evidence of any connection between them.
It's detrimental to treat intersex people as a prop or evidence in an argument for trans people - it ignores so much and shows a lack of understanding and compassion for intersex people as people rather than a gotcha. I'm sure many continue using us this way regardless of any evidence put forward not to, but please remember that some intersex conditions are lethal without treatment and life-limiting with treatment, and when intersex advocates discuss that sex is more complicated than female and male, it's not to say intersex people are not female or male, but that those who have been harmed, those who have been mutilated, those who have been abused, those who have died for being on the edges need to be brought in and included in the definition of female and male and that it is the current common ideal of each sex, medically and culturally, that is too simplified.
...and, far more on topic, the only connection I see between the two chants is that the transwomen most at risk of being victims of violence are also those who are prostituted. That alongside location and race, if I remember correctly, are far bigger risk factors than being trans only. Some of the protests I've seen and been at have somewhat disconnected chants that may sound odd together and I would find that chant a bit weird if I came across it.